Question

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 1

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