# a) how many ways are there to choose four members of the club to serve on an executive committee?,

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Do you enjoy solving math problems? Do you prefer word problems to other types of puzzles? If so, this blog post is perfect for you! Here we discuss a puzzle that has been around for nearly 200 years. It’s called the “committee problem” and it asks how many ways there are to choose four members of the club to serve on an executive committee. We find that there are 11 solutions to the problem. We’ll be looking at each solution in detail, and then we will show you how to solve this puzzle yourself! Solution One: If Club has A members where no two of them have the same number of children, there are P(A) ways to pick four from these members with exactly one member who has a different number of children than any other member; if Club has B members such that for all but one pair they have the same numbers of children (and this is not necessarily unique), then there are PP(B-P)C arrangements which can be made up as before except repeated pairs must alternate or swap places; finally, if Club consists only Of three people