SOLUTION: a class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two girls?

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Question 852217: a class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two girls?
Answer by Edwin McCravy(20054) About Me  (Show Source):
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        C(12,0)C(10,4)+C(12,1)C(10,3)+C(12,2)C(10,2) =

        (1)(210)+(12)(120)+(66)(45) = 210+1440+2904 = 4554

Answeer: 4554 ways

Edwin