how many ways can a 3 player team chosen from 9 students is this permutation or combination?

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how many ways can a 3 player team chosen from 9 students is this permutation or combination?

2006-09-20 08:26:43 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

This is a combination, not a permutation, because a team made of Tom, Dick, and Harry is exactly the same as a team made of Tom, Harry, and Dick. (Conversely, in permutation, the word "top" is different from "pot.") The formula for nCk (or "choose k from n") is n! / (k! * (n-k)!). In this case, that's 9! / (3! * 6!). I leave the computation to you.

2006-09-20 08:30:50 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋

This is an nCr question (Combinations)
9C3 = 84 ways!

2006-09-20 08:35:18 · answer #2 · answered by Shadow 3 · 0⤊ 0⤋

this is combination.

2006-09-20 08:31:30 · answer #3 · answered by jchampak 1 · 0⤊ 0⤋