SOLUTION: In a club with 5 men and 7 women, what is the probability that a 3 person committee is chosen that is all women?

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Question 1118960: In a club with 5 men and 7 women, what is the probability that a 3
person committee is chosen
that is all women?

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
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Of 5 men and 7 women,  in total of 5+7 = 12 persons, you can form  C%5B12%5D%5E3 = %2812%2A11%2A10%29%2F%281%2A2%2A3%29 = 220 different triplets (triples).


The number of triplets consisting of women only, is  C%5B7%5D%5E3 = %287%2A6%2A5%29%2F%281%2A2%2A3%29 = 35.


Therefore, the probability under the question is  35%2F220 =  0.1591 = 15.91%.

Solved.