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Problem Solving (PS) | Re: What is the probability that a 4 person committee chosen at random fro

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reto wrote:

What is the probability that a 4 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains exactly 1 woman?

A. 77/204
B. 77/832
C. 11/77
D. 308/1411
E. 22/832



Hi

Can someone please tell why are we not calculating probability separately for Men and Children instead of taking them together? The way i tried was,
7C1x6C3 + 7C1X6C2X5C1 + 7C1X6C1X5C2 but i am not able to arrive at the answer.

Thanks

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