SOLUTION: A school club has 15 boys and 16 girls as member. How many different 6-person committees can be selected from the membership if equal numbers of boys and girls are to be selected?

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Question 892628: A school club has 15 boys and 16 girls as member. How many different 6-person committees can be selected from the membership if equal numbers of boys and girls are to be selected? (You can leave your answer in an un-simplified factorial form)
Answer by stanbon(75887) About Me  (Show Source):
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A school club has 15 boys and 16 girls as member. How many different 6-person committees can be selected from the membership if equal numbers of boys and girls are to be selected? (You can leave your answer in an un-simplified factorial form)
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Ans: 15C3 * 16C3 = (15*14*13)/(1*2*3) * (16*15*14)/(1*2*3)
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= 455 * 560
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= 254800
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Cheers,
Stan H.
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