Sample Question #275 (probability theory)

A couple of questions

back we met a geeky quant finance society. The senior members of the society decided to form a social committee among the new members. There are 17 male new members and 3 female new members. The social committee will consist of two guys and two girls.

How many ways are there to form such a committee?

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Apparently Quant Career poster (below) got the question wrong, maybe a typo in his/her answer.The committee consists of exactly four members (2 guys + 2 girls). So, the correct answer is C(17,2)*C(3,2) = 408.

quantst, you’re absolutely right! I’ll amend the original answer. 🙂

-brett

ANSWER

This is a basic cominatorics question.

There are C(17,2) ways to pick two guys and C(3,2) ways to pick two girls, so the total number of ways to form the social committee is simply C(17,2)*C(3,2).

[Thanks to "quantst" for pointing the typo in the originally posted answer]