Question 970097: An employer interviews
10
people for
5
management positions in a company, and
5
of the
10
people are men. If all
10
are qualified, in how many ways can the employer fill the management positions if exactly
2
are men?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! There are 10 ways that 2 of the 5 people chosen are men. 5C2 =10
1,2
1,3
1,4
1,5
2,3
2,4
2,5
3,4
3,5
4,5
Look at the first and last
5/10 * 4/9 *5/8*4/7*3/6 MMWWW
5/10 * 4/9 *3/8*5/7*4/6 WWWMM
The products of these are identical, even though the fractions are different.
The product is 1200/30240 for each.
There are 10.
The probability is 1200/3024
P=0.397 or 0.40
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