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Q: How many combinations can be made out of numbers 1-5?

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There are 15 combinations.

3*5=15 5*3=15 15*1=15

10 000 * * * * * NO! That is the number of PERMUTATIONS, not COMBINATIONS. In a combination, the order does not matter so that 1234 is the same as 1432 or 3412 etc. Assuming the 4 numbers are different, the correct answer is 15 comprising 4 1-digit combinations, 6 2-digit combinations, 4 3-digit combinations and 1 4-digit combination. Another way to look at it is that the first number can be in a combination or not. With each of these possibilities, the second can be in or out - giving 2*2 = 4 ways so far. With each of these there are two options for the third giving 2*2*2 = 8 combinations so far and then the last number makes it 2*2*2*2 = 16. But one of these combinations contains none of the numbers - each one is not in. Leaving that one out gives the answer 15. In general, the number of combinations of any size, from n distinct objects is 2n and if you exclude the null combination, it is 2n - 1.

It depends how many numbers are in your combinations: 0 or 24 there is 1 1 or 23 there are 24 2 or 22 there are 276 3 or 21 there are 2,024 4 or 20 there are 10,626 5 or 19 there are 42,504 6 or 18 there are 134,596 7 or 17 there are 346,104 8 or 16 there are 735,471 9 or 15 there are 1,307,504 10 or 14 there are 1,961,256 11 or 13 there are 2,496,144 12 there are 2,704,156 If by combinations you do not mean the mathematical selection of a subset of items from a set of items (where the order doesn't matter) but how many ways are there of arranging 24 numbers then there are: 24! = 620,448,401,733,239,439,360,000 ways.

There are 1 combination of 4 colours out of 4, 4 combinations of 3 colours out of 4, 6 combinations of 2 colours out of 4, 4 combinations of 1 colour out of 4. A grand total of 15 (= 24-1) combinations.

Related questions

15

There are 15 combinations.

7

10 * * * * * That is just plain wrong! It depends on how many numbers in each combination but there are 1 combination of 4 numbers out of 4, 4 combinations of 3 numbers out of 4, 6 combinations of 2 numbers out of 4, 4 combinations of 1 number out of 4. A grand total of 15 (= 24-1) combinations.

16 x 15 / 2 ie 120

Assuming that the six numbers are different, the answer is 15.

14 * * * * * Wrong! There are 15. 4 combinations of 1 number, 6 combinations of 2 number, 4 combinations of 3 numbers, and 1 combination of 4 numbers.

15 choose 3 = 15!/(3!*(15-3)!) = 15!/(3!*12!) = (15*14*13)/(3*2) = 5*7*13 = 455

it is hard to say there are lot of combinations belive or not * * * * * If the previous answerer thinks 15 is a lot then true. There are 1 combination of 4 numbers out of 4, 4 combinations of 3 numbers out of 4, 6 combinations of 2 numbers out of 4, 4 combinations of 1 number out of 4. A grand total of 15 (= 24-1) combinations. Not so hard to say!

3*5=15 5*3=15 15*1=15

There are 15C3 = 15*14*13/(3*2*1) = 455 combinations, and I am NOT even going to try listing them.

It gives you the amounts of combinations of numbers from a set of numbers. For example if you wanted to find how many combinations of 2 numbers can you get from 6 numbers you would do this: =COMBIN(6,2) It will give the result 15, because there are 15 combinations as follows, where we are getting combinations of 2 numbers from the numbers 1 to 6: 1,2 1,3 1,4 1,5 1,6 2,3 2,4 2,5 2,6 3,4 3,5 3,6 4,5 4,6 5,6