SOLUTION: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the t

Algebra ->  Permutations -> SOLUTION: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the t      Log On


   

Question 626537: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

An employer interviews  8 people for 4 technical support positions in a company, and 3 of the 8 people are men. 

If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men

 3C2*5C2= 3*10 = 30 ways

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
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# of ways to pick 2 men: 3C2 = 3
# of ways to pick 2 women: 5C2 = 10
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# of ways to satisfy the problem condition: 3*10 = 30
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Cheers,
Stan H.
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