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Temporary Employees

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by paresh_patil » Wed Mar 13, 2013 11:04 am
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employee. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consists of 3 women and 1 man?
1) 22
2) 35
3) 56
4) 70
5) 105
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Source: — Problem Solving |

by Anju@Gurome » Wed Mar 13, 2013 11:16 am
paresh_patil wrote:Of the 12 temporary employees in a certain company, 4 will be hired as permanent employee. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consists of 3 women and 1 man?
There are 5 women and (12 - 5) = 7 men.

Number of possible groups = (Number of ways to select 3 women from 5)*(Number of ways to select 1 man from 7) = (5C3)*(7C1) = 10*7 = 70

The correct answer is D.
Anju Agarwal
Quant Expert, Gurome

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