SOLUTION: the sales force of a business consists of 10 men and 10 women. A production unit of 8 people is set up at random. What is the probability that it will consist of 4 men and 4 women?

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Question 406780: the sales force of a business consists of 10 men and 10 women. A production unit of 8 people is set up at random. What is the probability that it will consist of 4 men and 4 women?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

the sales force of a business consists of 10 men and 10 women. A production unit of 8 people is set up at random. What is the probability that it will consist of 4 men and 4 women?

nCx = n%21%2F%28x%21%28n-x%21%29%29

  20C8 - is the total number os ways to choose 8 people

 P(4 men 'and' 4 women) = 10C4*10C4 / 20C8 = 210*210/125,970 = .3501