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# How many combinations with 10 numbers

### Combination Calculato

For example, if you want a new laptop, a new smartphone and a new suit, but you can only afford two of them, there are three possible combinations to choose from: laptop + smartphone, smartphone + suit, and laptop + suit. The order in which you combine them doesn't matter, as you will buy the two you selected anyways However, be aware that 792 different combinations are already quite a lot to show. To avoid a situation where there are too many generated combinations, we limited this combination generator to a specific, maximum number of combinations (2000 by default). You can change it in the advanced mode whenever you want

### Combination Calculator (nCr) Combinations Generato

1. A 10-digit number can be formed without taking away any digit and keeping all the 10 digits. The number of ways in which we can get such a 10-digit number is the combination of 10 items taken 10 at a time = C (10, 10). A 9-digit number can be formed by taking away 1 digit and keeping 9 digits
2. Number of combinations n=10, k=4 is 210 - calculation result using a combinatorial calculator. Combinatorial calculator - calculates the number of options (combinations, variations) based on the number of elements, repetition and order of importance
3. A permutation of some number of objects means the collection of all possible arrangements of those objects. Enter your objects (or the names of them), one per line in the box below, then click Show me! to see how many ways they can be arranged, and what those arrangements are. Note: 8 items have a total of 40,320 different combinations
4. The question is ambiguous. If you meant how many ways are there to arrange the 36 symbols the 36! is the answer. If you meant how many ways can you choose one member from each set then the answer is 10*26. There are also many other ways to interpr..
5. Combinatorics. Select 6 unique numbers from 1 to 58. Total possible combinations: If order does not matter (e.g. lottery numbers) 40,475,358 (~ 40.5m) If order matters (e.g. pick3 numbers, pin-codes, permutations) 29,142,257,760 (~ 29.1b

### Given 10 digits, how many possible combinations are there

• If each digit in a 3-digit lock contains the numbers 0-9, then each digit has 10 options, and 1,000 different combinations are possible. However, the exact number of combinations depends on how many options each digit has. If the number of options for each digit is x, there would be a total of x*x*x number of combinations for the lock
• Online permutations calculator to help you calculate the number of possible permutations given a set of objects (types) and the number you need to draw from that set. Supports permutations with repetition and without repetition
• If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices. But because order does not matter, we have to take care of duplicates as you mentioned
• Random Numbers Combination Generator Number Generator 1-10 Number Generator 1-100 Number Generator 4-digit Number Generator 6-digit Number List Randomizer Popular Random Number Generators. Games Lotto Number Generator Lottery Numbers - Quick Picks Lottery Number Scrambler UK49 Lucky Pick Odds of Winning Flip a Coin Roll a Die Roll a D20
• Our combination calculator will allow you to calculate the number of combinations in a set of size n. A combination describes how many sets you can make of a certain size from a larger set. For example, if you have 5 numbers in a set (say 1,2,3,4,5) and you want to put them into a smaller set (say a set of size 2), then the combination would be the number of sets you could make without regard to order
• Thus, 210 different 3-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, and 7. To solve this problem using the Combination and Permutation Calculator, do the following: Choose Count permutations as the analytical goal. Enter 7 for Number of sample points in set
• Type at least n names separated by commas, then List. a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z. Style: Set Array Joined CSV. © 2015 MathsIsFun.com v2.24. . . Note: The old Flash version is here. For an in-depth explanation please visit Combinations and Permutations

### Combinatorial calculator, calculator of combinations

• Enter a series of up to 7 characters (letters and/or numbers) without spaces. Step #2: Select your sorting preference. Step #3: Select your list display preference (Field or Table). Step #4: Tap the Find Combinations button and scroll down to view the results
• QBoy has shown a lot of interest in numbers and basic addition problems. He has mastered numbers 1 through 10 (and beyond). He loves it when we practice mental math, which at his age mostly consists of problems like How much is 3 + 1? and If you have 5 apples and I take 2, how many will you have left
• The number of variations can be easily calculated using the combinatorial rule of product. For example, if we have the set n = 5 numbers 1,2,3,4,5 and we have to make third-class variations, their V 3 (5) = 5 * 4 * 3 = 60
• If we have to find the combinations of n numbers , then there should have 2^n -1 combinations. The following code returns all combinations in a set of set mode by taking the list of ids as input. /** * @param uniqueIds * @return */ private static Set< Set< Integer > > getAllCombinations (List< Integer.
• The Combinations Calculator will find the number of possible combinations that can be obtained by taking a sample of items from a larger set. Basically, it shows how many different possible subsets can be made from the larger set. For this calculator, the order of the items chosen in the subset does not matter. Factoria
• There are 10 choices, zero through nine, for each number in the combination. Because there are four numbers in the combination, the total number of possible combinations is 10 choices for each of the four numbers. That is, the number of possible combinations is 10*10*10*10 or 10^4, which is equal to 10,000

For a one digit number you have 10 possibilities, 0,1,2,3,4,5,6,7,8 and 9. If you add a second digit you have ten times as many possibilities, 10 that start with zero, 00,01,02...,09; ten that start with one, 10,11,12,...,19 and so on. Thus 10 x 10 possible 2 digit numbers. If you add a third digit you have ten times as many as the number of two digit numbers, that is 10 x 10 x 10. Continuing this for 9 digits gives the number above. Unfortunately the system is not that simple For every pair of 100 items, you'd have 4,950 combinations - provided order doesn't matter (AB and BA are considered a single combination) and you don't want to repeat (AA is not a valid pair). Share Improve this answe

10 Combinations of 3. -- Enter Number of Items (n) -- Enter Number of Arrangements (r) Evalute the combination n C r A combination is a way to order or arrange a set or number of things (uniquely) The formula for a combination of choosing r unique ways from n possibilities is Input is the number tables 5, number seats 5 and list of members 10. Input Member 1 Member 2 Member 3 Member 4 Member 5 Member 6 Member 7 Member 8 Member 9 Member 10. Needed Output where the numbers in the round columns are the table assigments for each member as we rearrange members every 15 minutes. Every members should only meet every other.

Permutations and combinations have uses in math classes and in daily life. Thankfully, they are easy to calculate once you know how. Unlike permutations, where group order matters, in combinations, the order doesn't matter. Combinations tell you how many ways there are to combine a given number of items in a group Thus, in base 10 the sum of the first 8 triangular numbers gives us the number of such combinations: +(1, 3, 6, 10, 15, 21, 28, 36)=120. Similarly, it should logically follow that for x digit numbers in base z, where x < z, or x=z, there exist +[T\$_1\$,.

### See How Many Number Combinations You Can Make - WebMat

• #number of combinations =4! =4xx3xx2xx1=24# Answer link. Related questions. What are Combinations? How do permutations and combinations differ? How do combinations relate to the pascal's triangle? How do you.
• In our number system, ten is a special number and that's why it gets a specific standard. The skill is really no different than the first standard. This skill addresses automaticity. It means that while students may still need objects and/or pictures for the combinations for the numbers above five, they should know all the combinations for.
• Purpose of use something not wright Comment/Request I ha padlock wit 6 numbers in 4 possible combinations. I forgot the password. i put in excel every combination (one by one, put every single combination with duplicate values turned ON) possible and I get 1080 different combinations
• This is a combination problem. Really you are looking for how many options do you have at each spot. Your code has 4 spots open: (__-__-__-__) And you just need to know if there are any limitations on them. The problem doesn't say you can't reuse a number, so you have 10 options for each spot. (10-10-10-10
• e whether we can choose a digit twice or not. We can have four-digit numbers such as 1000, 1002, 3032, and 4044. In all these numbers, one digit is repeated twice or thrice

### How many combinations are there with 10 numbers and 26

• 10 Combinations of 2. -- Enter Number of Items (n) -- Enter Number of Arrangements (r) Evalute the combination n C r A combination is a way to order or arrange a set or number of things (uniquely) The formula for a combination of choosing r unique ways from n possibilities is
• All Possible Number Combinations. We've generated every possible number combination for most lottery games in the US and around the world. Number combinations are stored in basic text files with approximately 50K - 1M number combinations per file so that you can easily open them in any word processor or Excel
• Find the Number of Combinations Using the Formula So far, we have looked at problems asking us to put objects in order. There are many problems in which we want to select a few objects from a group of objects, but we do not care about the order
• g I have a computer password consisting of 31 digits. How many combinations are possible? A formula to compute this would be well beyond my ability. Likewise, a very long number would not do much because after I..
• In some cases, we may need to generate a list of all possible 4 digits combinations of number 0 to 9, which means to generate a list of 0000, 0001, 00029999. To quickly solve the list task in Excel, I introduce some tricks for you. A list of all possible 4 digits combinations with formula
• You can make 6 combinations with 3 numbers. They are: 123 213 312 132 231 321 * * * * * NO! Those are permutations! In combitorials, the order does not matter so that the combination 123 is the.
• Numbers in Set: The quantity of numbers in one set (ticket). For a Pick 3 game, you would enter 3 for this parameter. Minimum Number: The lowest number in the range of available numbers

### Combinations Generato

Combinations with or without repetition. The question does not say whether we are allowed repetition or not. So we do not know whether we are to count (1 1 3) as a combination of 3. We are also not told the size of the combination. But if repetition is allowed then there are infinitely many combinations of all sizes that can be formed (ii). at most 4 women Solution: at most 4 women means that women are less than or equal to 4. So the number of possible combinations is 10 C 0 ∙ 8 C 7 + 10 C 1 ∙ 8 C 6 + 10 C 2 ∙ 8 C 5 + 10 C 3 ∙ 8 C 4 + 10 C 4 ∙ 8 C 3 =280+2520+8400+11760+8=22968 (iii) at least 4 women Solution: at least 4 women means that women are greater than or equal to 4. = 10 C 4 × 8 C 3 + 10 C 5 × 8 C 2. The number of pixels in a full HD image is 1920 × 1080 = 2M. Now to get to the number all full HD we have to put (256^3) to the power of 1920 × 1080. Let's call this number HD. As a comparison Googol, a very very large number, is equal to 10^100. So HD is much greater than Googol but smaller than Googolplex (10^(10^100)). Now onto movies Ten people go to a party. How many different ways can they be seated? Anti-clockwise and clockwise arrangements are the same. Therefore, the total number of ways is ½ (10-1)! = 181 440. Combinations. The number of ways of selecting r objects from n unlike objects is: Example. There are 10 balls in a bag numbered from 1 to 10. Three balls are. But phone numbers may also contain duplicate numbers or repeated numbers like 11 234, here number 1 is repeated. A digit in a phone number has 10 different values, 0 to 9. A five digit phone number has 10x10x10x10x10 or 10^5 equals 100 000 permutations. Another example with repetitive numbers are bits and bytes

How many combinations can the seven colors of the rainbow be arranged into groups of three colors each? Exercise 4. How many different five-digit numbers can be formed with only odd numbered digits? How many of these numbers are greater than 70,000? Exercise 5. How many games will take place in a league consisting of four teams Enter the values for N and R: 10 5 ----- Number of 5-combination of 10 = 252 ----- Problem Definition: R-combinations of a set of N distinct object with repetition allowed We know that R-combination is a selection of R objects at a time from given N object set There are two distinct boxes, 10 identical red balls, 10 identical yellow balls, and 10 identical blue balls. How many ways are there to sort the 30 balls into the two boxes so that each box has 15? Keeping in mind that the two boxes are distinct, let r , y r, y r , y and b b b be the numbers of red, yellow and blue balls in the first box, respectively

Combinations. There are also two types of combinations (remember the order does not matter now): Repetition is Allowed: such as coins in your pocket (5,5,5,10,10) No Repetition: such as lottery numbers (2,14,15,27,30,33) 1. Combinations with Repetition. Actually, these are the hardest to explain, so we will come back to this later. 2 Section 1.3 Combinations and Permutations Investigate! You have a bunch of chips which come in five different colors: red, blue, green, purple and yellow. How many different two-chip stacks can you make if the bottom chip must be red or blue? Explain your answer using both the additive and multiplicative principles

I have a list with 15 numbers in, and I need to write some code that produces all 32,768 combinations of those numbers. I've found some code (by Googling) that apparently does what I'm looking for, but I found the code fairly opaque and am wary of using it. Plus I have a feeling there must be a more elegant solution This post introduces permutations and combinations. The number of possible rankings of 20 job applicants would be a staggering number, over 2.4 quintillions! A quintillion is 10 raised to 18. In contrast, a trillion is 10 raised to 12. Example

That means that the chances of winning are fixed and that they aren't influenced by how many people buy tickets. Because there are a fixed number of lottery combinations, a very determined entrant with enough money at their disposal could buy every single possible combination and guarantee a jackpot win so let's keep thinking about different ways to sit multiple people in the certain number of chairs so let's say we have six people we have person a we have person B with person C person D person e and we have person F so we have six people and for the sake of this video we're gonna say we want to figure out all the scenarios all the possibilities all the permutations all the ways that we could. The jackpot is so massive, at least before taxes, that it would theoretically be profitable to buy enough tickets to cover every one of the 302,575,350 possible combinations of Mega Millions numbers

### How Many Possible Combinations of 3 Numbers Are There

Keno and Lottery Number Combinations Calculator; Example of 6/49 lottery number picks: Type 20 for number of result groups; Type 6 for Numbers PER result group For Input range type 1 as lowest number and 49 as highest number. Click Create Lotto Combinations and your numbers will be listed below We want to find how many possible 4-digit permutations can be made from four distinct numbers. Begin by drawing four lines to represent the 4 digits. The first digit can be any of the 4 numbers. How many combinations are there for a set of 4 TFs? Since the TFs are used once, the number of combinations are without repetition/replacement and the order does not matter; all four TFs just need to be added. Since combinations are order agnostic, there will be less combinations than permutations under the same scenario Sol: The total number of numbers formed with the digits 2, 3, 7 and 8 taken all at a time = Number of arrangements of 4 digits taken = 4 P 4 = 4! = 24. To find the sum of these 24 numbers we will find the sum of digits at units, tens, hundred's and thousand's place in all these numbers

### Permutations Calculato

Preview this quiz on Quizizz. How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits A combination lock has 40 numbers on it. (a) How many diﬀerent three-number combinations can be made? (b) How many diﬀerent combinations are there if the numbers must be all diﬀerent? Problem 35.7 (a) Miss Murphy wants to seat 12 of her students in a row for a class picture. How many diﬀerent seating arrangements are there

### 3 digit combinations from 0-9 - Math Centra

1. Lets say I am betting 50 cents each parlay to win at least \$1000. How many combinations would the 14 team parlay have? Thanks. 10-14-11 07:49 AM #2. BigdaddyQH. MySBRForum
2. g you mean a 4 digit lock: 10 x 10 x 10 x 10 for decimal (10000) Posted 9 years ag
3. the first time you're exposed to permutations and combinations it takes a little bit to get your brain around it so and I think it never hurts to do as many examples but each incremental example I'm gonna go I'm gonna review what we've done before but hopefully go a little bit further so let's just take another example and this isn't the same thing and in the next and videos after this I'll.
4. That dosent count with the letters of the alphabet and numbers 0-10, it only counts the combination of 25 units rearanged by 1 unit. With the alphabet and numbers added there is no word for that high of a number, the combos would last centurys or milenem
5. So, a combination is a selection of numbers that, when put together, create a unique characteristic. For example, 2-4-6-8-10-12 is a combination composed of even numbers and low numbers (there are no high numbers and odd numbers). Such a combination takes the characteristic of being non-random
6. Rule 5: Combination. The total number of ways of selecting k distinct combinations of n objects, irrespective of order, (i.e., we are not ordering the items after we select k, but rather only doing the selection), is: or as seen on calculators, [nCr]. This selection is called a combination to distinguish it from the permutation above
7. 4. How many can 3 digits be formed using the digits from 1 to 5 if the digit 2 is never there in the number? A. 24 B. 36 C. 40 D. 52. 5. If no repetition is not allowed then how many numbers between 2000 and 3000 can be formed using the digits from 0 to 7

Our List of All Possible Combinations. Now we have a table which contains every possible combination of items from List1 and List2. With small tables like this example, we could have easily created a table manually. For Large lists this query becomes a massive time saver though The number of 9-note chords: The number of 10-note chords: The number of 11-note chords: The number of 12-note chords: Math note: 0! = 1. Adding all these numbers up, we arrive at 4017 unique chords that can be made. And if you're one of those people who think that two notes can make a chord, then we add. The number of 2-note chords

4. Combinations (Unordered Selections) A combination of n objects taken r at a time is a selection which does not take into account the arrangement of the objects. That is, the order is not important.. Example 1. Consider the selection of a set of 4 different letters from the English alphabet How many 5- Digit numbers can be formed using 0-9? answer choices . 10. 100,000. 15120. 10,000. Tags: Question 11 . 900 seconds . Q. A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? answer choices . 16. 8. 64. 512. Tags: Question 12 . SURVEY. Hot lotto numbers are believed to be the best lottery numbers you could use when picking your lottery combination. In reality, it is not. In this article you'll know the reasons why it isn't and what are the best lottery numbers you should pick instead We need to make 4 digit numbers using digits 0,1,2,3,4,5,6,7,8,9 But, these include numbers starting with '0' like 0645, 0932, etc which are actually 3 digit numbers Required numbers = Total 4 digit numbers - 4 digit number which have 0 in the beginning Total 4 digit numbers Total digits from 0 to 9 = 10 Hence, n = 10 We need to find 4 digit numbers Hence r = 4 So total number of four. Our combination calculator determines the total number of possible combinations that can be acquired from a sample that is taken from a population or bigger set. In essence, you can estimate how many combinations you can get from a subset representing a bigger and generalized set

### All Possible Combinations and Permutations Generato

1. Simple online calculator to find the number of combinations with n possibilities, taken r times. These calculations are used when you are allowed to choose an item more than once. Code to add this calci to your website . Formula: Where, n is the number of types, r is the number (of times) to be chosen. Counting.
2. e whether we can choose a digit twice or not. We can have four-digit numbers such as 1000, 1002, 3032, and 4044. In all these numbers, one digit is repeated twice or thrice
3. In math, a combination is an arrangement in which order does not matter. Often contrasted with permutations, which are ordered arrangements, a combination defines how many ways you could choose a group from a larger group

### Combination Calculator Calculate Combination

1. But there are then 26+ 10= 36 letters or digits (You say numbers, but if a single number could be say 1000000000000, there is no finite answer) for each of the remaining 4 symbols: there are (1)(36)(36)(36)(36)= 36 4 ways to make combinations of 5 letters or digits, starting with F
2. The chances of an event to occur is called as the possible outcome. Consider, you toss a coin once, the chance of occurring a head is 1 and chance of occurring a tail is 1. Hence, the number of possible outcomes is 2. Selecting items from a set without considering the order is called as combination
3. How many total combinations are possible from rolling two dice? Since each die has 6 values, there are \(6*6=36\) total combinations we could get. If you add up the numbers in the total column above, you'll get 36. So, we can calculate the probabilities of each outcome
4. A numerical digit is a single symbol used alone (such as 2) or in combinations (such as 25), to represent numbers in a positional numeral system. The name digit comes from the fact that the ten digits (Latin digiti meaning fingers) of the hands correspond to the ten symbols of the common base 10 numeral system, i.e. the decimal (ancient Latin adjective decem meaning ten) digits
5. Python combination : Combination is the selection of set of elements from a collection, without regard to the order. For example, for the numbers 1,2,3, we can have three combinations if we select two numbers for each combination : (1,2),(1,3) and (2,3).. In python, we can find out the combination of the items of any iterable

### Combination Permutation Calculato

Generate all possible combinations of K numbers that sums to N. 12, Mar 21. Find minimum number of Log value needed to calculate Log upto N. 05, Oct 18. Sum of largest divisor of numbers upto N not divisible by given prime number P. 31, Jul 20. Sum of GCD of all numbers upto N with N itself Example 2 (a) How many different car number plates are possible with 3 letters followed by 3 digits? Solution: 26 × 26 × 26 × 10 × 10 × 10 = 263 × 103 (c) If a plate is chosen at random, what is th Thanks, Ashish. I have got data set 1 (1 to 8) and data set 2 (9-16). I would like to generate all possible combination of 6 numbers: in every possible combination, 2 numbers are from data set 1, and 4 numbers are from data set 2 and no repetition John Smith may be many people, but Social Security Number 123-45-6789 refers to one person exactly. A GUID (globally unique identifier) is a bigger, badder version of this type of ID number. You may see the term UUID tossed about (universally unique identifier), a nitpicky word for those whose numbers are unique not only within the globe, but throughout the entire universe

### Combinations and Permutations Calculator - MAT

Number of Combinations: The number of all combinations of n things, taken r at a time is: A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made? A) 1260 B) 1400 C) 1250 D) 1600. Examples of solving Combination Problems with videos and solutions, Formula to find the number of combinations of n things taken r at a time, What is the Combination Formula, How to use the Combination Formula to solve word problems and counting problems, How to solve combination problems that involve selecting groups based on conditional criteria, How to solve word problems involving. The way to calculate this is to add up the number of combinations as follows: This means one pizza can be ordered in 1,024 ways. Similarly, the other pizza could be ordered in that many ways too. The calculation in the commercial is based on multiplying 1,024 by 1,024 to get 1,048,576 We need to find out how many 3 digit numbers divisible by 5 can be formed from the \$10\$ digits \$(0,1,2,3,4,5,6,7,8,9)\$ without repetition. Since the 3 digit number must be divisible by 5, we can have 0 or 5 at the units place. We will take these as two cases. Case 1: Three digit numbers ending with 0 Place 0 at the units place a) How many 6-number combinations are there? b) Suppose that it takes 10 min to pick your numbers and buy a game ticket. How many tickets can you buy in 4 days? c) How many people would you have to hire for 4 days to buy tickets with all the possible combinations and ensure that you win? Solution a) No order is implied here

Therefore, the statement that each number combination has equal chances of getting drawn in the lottery is a mistake. The table above can attest to that. See my post: Top 10 Lottery Strategy Myths Debunked. So, if you play the U.S. Mega Millions 5/70 game, you don't want to waste your money on poor combinations How many different permutations are there if one digit may only be used once? A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations 10. Thus, if phone numbers were to have 2 digits, how many different number combinations would be available? 10 x 10 = 100. In the same fashion, if phone numbers were to have 9 digits, this would only satisfy 1,000 million (100 crore) subscribers. Hence, the 10-digit mobile number. This offers us 10 billion (1000 crore) different combinations. Combinations From Multiple Selection Pools: When presented with multiple groups of items from which you are required to make a selection, you will MULTIPLY the separate cases together. Example 1: A committee of 3 boys and 5 girls is to be formed from a group of 10 boys and 11 girls. How many committees are possible

For every possible combination of 5 numbers from the 69, there are 26 possible Powerball numbers, so to get the total number of combinations, we multiply the two combinations. So the total possible number of combinations = 11,238,513 x 26 = 292,201,338 or roughly 293 million and the probability of winning is 1 in 293 million For example, if you have 10 digits to choose from for a combination lock with 6 numbers to enter, and you're allowed to repeat all the digits, you're looking to find the number of permutations with repetition. A permutation with repetition of n chosen elements is also known as an n-tuple Combination Questions: Solved 77 Combination Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning Category online test. Category Questions section with detailed description, explanation will help you to master the topic

### Letter or Number Combination Calculator with Sortin

1. Counting problems using permutations and combinations. Factorial Example 1: How many 3 digit numbers can you make using the digits 1, 2 and 3 without repetitions? method (1) listing all possible numbers using a tree diagram
2. The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why? answer choices . 7 because 2 + 3 + 2. 12 because 2 x 3 x The four-digit number that follows is different for each telephone number. How many numbers are possible? answer choices . 10, 000. 1, 000. 4
3. x: vector source for combinations, or integer n for x <- seq_len(n).. m: number of elements to choose. FUN: function to be applied to each combination; default NULL means the identity, i.e., to return the combination (vector of length m). simplify: logical indicating if the result should be simplified to an array (typically a matrix); if FALSE, the function returns a list

This is a combination with repetition problem: combinations of 1000 the 25 family members with repetition. So there are \(C(1024,25)\) ways to distribute. Attempt #1: Count all \(C(1024,25)\) ways to distribute the pens, then subtract the number where somebody gets 2 or fewer pens Numbers in Computers. One byte works well for individual characters, but computers are also good at manipulating numbers. Integers are typically stored with either 4 or 8 bytes 4 bytes can store numbers between -2147483648 and 2147483647 8 bytes can store numbers between -9223372036854775808 and 922337203685477580 Hence, number of 8 digit mobile numbers that can be formed if any digit can be repeated and 0 cannot be used to start the mobile number \$=9×10^7~~\cdots\$(A) Now we will find out number of 8 digits mobile numbers that can be formed if no digit can be repeated (0 cannot be used to start the mobile number)

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