# How many combinations with 3 numbers 0 9 list

Instructions: To find the answer to a frequently-asked question, simply click on the question. If none of the questions addresses your need, refer to Stat Trek's tutorial on the rules of counting or visit the Statistics Glossary.

Online help is just a mouse click away. A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For example, suppose we have a set of three letters: A, B, and C.

We might ask how many ways we can arrange 2 letters from that set. Each possible arrangement would be an example of a permutation. When statisticians refer to permutations, they use a specific terminology. They describe permutations as n distinct objects taken r at a time. Translation: n refers to the number of objects from which the permutation is formed; and r refers to the number of objects used to form the permutation.

Consider the example from the previous paragraph. For an example that counts permutations, see Sample Problem 1. A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.

We might ask how many ways we can select 2 letters from that set. Each possible selection would be an example of a combination. When statisticians refer to combinations, they use a specific terminology. They describe combinations as n distinct objects taken r at a time.

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Translation: n refers to the number of objects from which the combination is formed; and r refers to the number of objects used to form the combination. Note that AB and BA are considered to be one combination, because the order in which objects are selected does not matter. This is the key distinction between a combination and a permutation.

A combination focuses on the selection of objects without regard to the order in which they are selected. A permutation, in contrast, focuses on the arrangement of objects with regard to the order in which they are arranged. For an example that counts the number of combinations, see Sample Problem 2. The distinction between a combination and a permutation has to do with the sequence or order in which objects appear.

For example, consider the letters A and B. Using those letters, we can create two 2-letter permutations - AB and BA. Because order is important to a permutation, AB and BA are considered different permutations. However, AB and BA represent only one combination, because order is not important to a combination. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, and 7, if each digit can be used only once? The solution to this problem involves counting the number of permutations of 7 distinct objects, taken 3 at a time. The number of permutations of n distinct objects, taken r at a time is:.

Thus, 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 Calculatordo the following:. The Atlanta Braves are having a walk-on tryout camp for baseball players.By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. It's possible to generate all possible combinations of 3 digits by counting up from tobut this produces some combinations of digits that contain duplicates of the same digit for example, I could obtain all combinations of 3 digits without repetition by counting up from toand then removing all numbers with duplicate digits, but this seems inefficient.

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Is there a more efficient way to accomplish the same task? Yes, there does exist such a way. You first select 0 for d, then 1, and so on until you get to 7. List out the first sequence, Then list all the other numbers beneath them with the condition that for all numbers e and f, and with d held constant, the digits for e and f follow the natural number sequence down the column.

Partition each set of sequences by d. The column rule only applies within each partition. I guess the underlying idea I've used here lies in following the natural number sequence across the rows, and down the columns for the digits e and f also.

You have 10 options for the first, then 9 10 - the first for the second, and 8 for the third. Here is a link to a pre-publication fascicle:. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Generate all possible combinations of 3 digits without repetition Ask Question.

Asked 7 years, 1 month ago. Active 8 months ago. Viewed 99k times. Anderson Green Anderson Green 7 7 gold badges 16 16 silver badges 23 23 bronze badges. Do you want an algorithm for them? Or are you asking for the number of 3 digits without repetition?

Or do you want them in numerical order? Unless you're seeking some unstated scalability, it's generally considered bad practice to optimise unnecessarily like this.

If you are seeking some kind of scalability, the best approach will depend on the application you have in mind. Stones May 23 '13 at Active Oldest Votes. The list thus goes:, Doug Spoonwood Doug Spoonwood 9, 1 1 gold badge 26 26 silver badges 45 45 bronze badges. Featured on Meta.

Permutations and Combinations Problems - 3 Digit Even Number (Repetition Allowed)

Feedback post: New moderator reinstatement and appeal process revisions. The new moderator agreement is now live for moderators to accept across the….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, … To quickly solve the list task in Excel, I introduce some tricks for you.

A list of all possible 4 digits combinations with formula. A list of all possible 4 digits combinations with List All Combinations. List all possible 4 digits combinations with Insert Sequence Number. In Excel, you can use below formula to list all possible 4 digits combinations of number 0 to 9. With the formula to drag down until all combinations are listed is tedious. However, if you have Kutools for Excel installed, you can use its List All Combinations utility to quickly list all 4 digits combinations.

Select a cell, A1, type 0 into it, then go down next cell and type 1 into it. And then select A1 and A2, and drag the autofill handle down until number 9 appears.

See screenshot:. Then you need to format a column as Text the column will put the combinationsclick at a blank column header, says Column F, and then right click to select Format Cellsand select Text under Number tab in Format Cells dialog, and click OK.

A List All Combinations dialog pops out, and you just need to do below operations:. Click Ok. Now a dialog pops out to remind you select a cell to put the result, here you need to select the first cell of the column you format as Text. Click OK. Now all the 4 digits combinations of are listing. Click here to know more about List All combinations.

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Then in the Insert Sequence Number dialog, do as below:. Click Add to add this sequence rule, and then click Fill Range. Click here to know the details about Insert Sequence Number. Remember Me.

Log in. How to generate a list of all possible 4 digits combinations in Excel? A list of all possible 4 digits combinations with formula A list of all possible 4 digits combinations with List All Combinations List all possible 4 digits combinations with Insert Sequence Number A list of all possible 4 digits combinations with formula In Excel, you can use below formula to list all possible 4 digits combinations of number 0 to 9.

A list of all possible 4 digits combinations with List All Combinations With the formula to drag down until all combinations are listed is tedious.

### Combinations Calculator (nCr)

Kutools for Excelwith more than handy functions, makes your jobs more easier. Free Download free full-featured in day.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. Also referred to as r-combination or "n choose r" or the binomial coefficient. In some resources the notation uses k instead of r so you may see these referred to as k-combination or "n choose k.

You have won first place in a contest and are allowed to choose 2 prizes from a table that has 6 prizes numbered 1 through 6. How many different combinations of 2 prizes could you possibly choose? In this example, we are taking a subset of 2 prizes r from a larger set of 6 prizes n.

A teacher is going to choose 3 students from her class to compete in the spelling bee. She wants to figure out how many unique teams of 3 can be created from her class of In this example, we are taking a subset of 3 students r from a larger set of 25 students n.

### See How Many Number Combinations You Can Make

A restaurant asks some of its frequent customers to choose their favorite 4 items on the menu. If the menu has 18 items to choose from, how many different answers could the customers give? Here we take a 4 item subset r from the larger 18 item menu n. First, let's find the total handshakes that are possible. That is to say, if each person shook hands once with every other person in the group, what is the total number of handshakes that occur? A way of considering this is that each person in the group will make a total of n-1 handshakes. Since there are n people, there would be n times n-1 total handshakes. In other words, the total number of people multiplied by the number of handshakes that each can make will be the total handshakes.

However, this includes each handshake twice 1 with 2, 2 with 1, 1 with 3, 3 with 1, 2 with 3 and 3 with 2 and since the orginal question wants to know how many different handshakes are possible we must divide by 2 to get the correct answer.

The order of the items chosen in the subset does not matter so for a group of 3 it will count 1 with 2, 1 with 3, and 2 with 3 but ignore 2 with 1, 3 with 1, and 3 with 2 because these last 3 are duplicates of the first 3 respectively.

For more information on combinations and binomial coefficients please see Wolfram MathWorld: Combination.If the digits can repeat, then there are possible combinations. If they can't repeat, then there are 24 possibilities. All the possible digits 10 of them; are multiplied by themselves by the number of digits that can be shown in the lock.

This certainly shows why guessing is not a good way to break into a numerical lock, especially since three is a rather low number of digits for one! In most 3-number locks, each number ring offers a choice of 10 digits, from 0 to 9.

I would have to say 10, possible combinations. Mrs Smith has nine children half of them are girls. Have you ever crashed a wedding or had your wedding crashed, if so what happened? Is management an instinct or a set of skills and techniques that can be taught? When two or more objects are added as listeners for the same event which listener is invoked first to handle the event? Is best defined as the total weight of persons gear equipment stores fuel and motor assembly found on a vessel?

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## How many combinations can you make with the numbers 1,2,3?

Anonymous Jackson May Wiki User There are too many combinations to list.In a permutation order matters, so the permutation 1 2 3 is not the same as 2 1 3. In a combination order does not matter so the combination 2 3 is the same as 3 2. 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. Therefore, I shall assume that repetition is not allowed.

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Starting with 1 2 3 we can form combinations of size 1 2 or 3. For n things choosing r combinations we can count using the formula. That is a total of 7 combinations. If we wish to count choosing 0 items -- the empty combination -- as a combination, then we must add 1 way of doing that.

How many combinations can you make with the numbers 1,2,3? Mar 28, See a solution process below:. Explanation: The first number in the combination can be any 1 of the 3 number. The second number can be either of the 2 remaining numbers. For the final number you would have only 1 choice. Jim H. Please see below. Explanation: We are not told the size of the combinations to be formed. I'll return to this point later. Permutations and Combinations In a permutation order matters, so the permutation 1 2 3 is not the same as 2 1 3.

Combinations with or without repetition The question does not say whether we are allowed repetition or not. Without repetition Starting with 1 2 3 we can form combinations of size 1 2 or 3.I need to know all the possible 3 digit combinations using the numbers The numbers can be repeated as long as they are not of the same set. Example for not repeating: is ok but not or , etc. Please help me. Thanks, Mike. If order mattered, we would say select the first number 10 choicesthen the second 9 choices then the third 8 choices.

But because order does not matter, we have to take care of duplicates as you mentioned. How many duplicates are there for each set of three numbers? Well, again, we can choose one of the three as the "first", so there are 3 choices for that, then 2 choices for the "second" digit, then 1 choice for the last digit. Therefore in that set of possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6. These are what are mathematically called "combinations". You can use a formula involving factorials to determine the number of combinations. In this case, we say this is "10 Choose 3" and write it as 10 C 3.

That means from a set of ten digits in this casechoose 3 regardless of order. For more information on Combinations and their close cousins Permutations where order matterslook up these words in our Quick Search. Math Central.