SOLUTION: Of 10 available candidates for membership in a university committee, 5 are men and 5 are women. The committee is to consist of 4 persons. How many selections are possible if the co

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Question 816343: Of 10 available candidates for membership in a university committee, 5 are men and 5 are women. The committee is to consist of 4 persons. How many selections are possible if the committee must have 2 men and 2 women?
Please show the work as well as I am trying to understand this concept and need more than just the final answer
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Of 10 available candidates for membership in a university committee, 5 are men and 5 are women. The committee is to consist of 4 persons. How many selections are possible if the committee must have 2 men and 2 women?
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# of ways to pick 2 men:: 5C2 = (5*4)/(1*2) = 10
# of ways to pick 2 women:: 5C2 = 10
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# of ways to pick 2 men and 2 women: 10*10 = 100
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Cheers,
Stan H.
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