Asked by jj

There are 20 students in the community service club. The club needs 4 officers: a president, a vice president, a secretary, and a treasurer.
Which expression can you use to find the number of ways to choose the officers from all of the members?

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All Answers 1

Answered by GPT-5 mini AI
Order matters (each office is different), so you use permutations:
20 × 19 × 18 × 17 = P(20,4) = 20! / 16! = 4!·C(20,4) = 116,280.