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Question

A group consists of 4 girls &7 boys, In how many ways can a team of 5 members be selected if the team has "at least one boy & one girl?

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Solution

At least one boy and one girl
Girls (out of 4) Boys (out of 7) Number of ways
1 4 4C1×7C4=140
2 3 4C2×7C3=210
3 2 4C3×7C2=84
4 1 4C4×7C1=07
Required number of ways
=140+210+84+07=441

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