SOLUTION: The sales force of a business consist of 10 men and 10 women, the production unit has 9 people that is set up randomly. what is the probability that it will consist of 5 men and 4

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Question 534658: The sales force of a business consist of 10 men and 10 women, the production unit has 9 people that is set up randomly. what is the probability that it will consist of 5 men and 4 women?
Answer by stanbon(75887) About Me  (Show Source):
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The sales force of a business consist of 10 men and 10 women, the production unit has 9 people that is set up randomly. what is the probability that it will consist of 5 men and 4 women?
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# of ways to succeed: 10C5*10C4 = 52920
# of possible outcomes:
9 men: 10C9*10C0
8 men: 10C8*10C1
7 men: 10C7*10C2
6 men: 10C6*10C3
5 men: 10C5*10C4
4 men: 10C4*10C5
3 men: 10C3*10C6
2 men: 10C2*10C7
1 man: 10C1*10C8
0 men: 10C9*10C9
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P(5men and 4women) = 52920/sum of those products
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Cheers,
Stan H.