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Temporary employees

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Temporary employees

by sq720 » Sun Jul 12, 2009 4:06 pm
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporay employees consists of 3 women and 1 man?

22
35
56
70
105


70
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by kishore99 » Sun Jul 12, 2009 5:39 pm
5 Women -- 7 Men

You have to choose 3W and 1M.

You can choose 3W from 5W in (5 choose 3) ways = 5!/3!2! = 10 ways

You can choose 1 man from 7 men in 7 ways.

So you have 10*7 = 70 ways to choose.
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by niraj_a » Sun Jul 12, 2009 6:18 pm
wouldn't we have to consider somehow that the the 4 permanent employees could be all women, and that 4 permanent employees means only 8 temp left?
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