SOLUTION: A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly 10 ways to select a two-person team f

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Question 1076592: A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly 10 ways to select a two-person team for the welcoming committee. It is possible for students to serve on both committees. In how many different ways can a three-person planning committee be selected?
Answer by stanbon(75887) About Me  (Show Source):
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A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly 10 ways to select a two-person team for the welcoming committee. It is possible for students to serve on both committees. In how many different ways can a three-person planning committee be selected?
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Ans: 10C3 = 10!/(7!*3!) = (10*9*8)/(1*2*3) = 120 ways
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Cheers,
Stan H.
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