SOLUTION: There are six positions available in the research department of a software company. Of the applicants, 15 are men and 10 are women. In how many ways could 4 men and 2 women be

Question 562633: There are six positions available in the research department of a software company. Of the applicants, 15 are men and 10 are women.
In how many ways could 4 men and 2 women be chosen if each were equally qualified?
What is the probability that five women are selected if the positions are randomly filled?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
15 are men and 10 are women.
In how many ways could 4 men and 2 women be chosen if each were equally qualified?
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# of ways to select 4 men: 15C4 = 1365
# of ways to select 2 women: 10C2 = 45
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# of ways to select 4men and 2 women = 15C4*10C2 = 1365*45 = 61425
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What is the probability that five women are selected if the positions are randomly filled?
Ans: 10C5/25C5 = 0.0941
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Cheers,
Stan H.
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