SOLUTION: An employer interviews 9 people for 5 management positions in a company, and 4 of the 9 people are women. If all 9. are qualified, in how many ways can the employer fill the m

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Question 1090642: An employer interviews 9 people for 5 management positions
in a company, and 4 of the 9 people are women.
If all 9. are qualified, in how many ways can the employer
fill the management positions if exactly 2 are women?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
An employer interviews 9 people for 5 management positions
in a company, and 4 of the 9 people are women. 
So there are 4 women and 5 men

If all 9 are qualified, in how many ways can the employer
fill the management positions if exactly 2 are women?
Exactly 2 women are to be chosen from the 4, and since 5 people 
are to be chosen, exactly 3 men are to be chosen from the 5.

(4 women choose 2)(5 men choose 3) = (4C2)(5C3) = (6)(10) = 60 ways.

Edwin
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