Tuesday, January 6, 2015

How many 5 numbers combinations can you make from the numbers 1 to 22 and what are they?

How many 5 numbers combinations can you make from the numbers 1 to 22 and what are they?
Assuming you are using "combinations" in the mathematical sense where order doesn't matter (if order does matter it would be "permutations"), there are 22C5 = 22!/5!17! = 26,334 possible combinations of 5 numbers from 22.

They start 1, 2, 3, 4, 5, 1, 2, 3, 4, 6, 1, 2, 3, 4, 7, ... and end ... 16, 19, 20, 21, 22, 17, 19, 20, 21, 22, 18, 19, 20, 21, 22; I'll leave the 26,328 combinations in the middle for you to list.

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