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Expert replies
by armaan700+ » Tue Jan 26, 2010 10:10 am
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 employees consist of 3 women and one man?

a) 22
b) 35
c) 56
d) 70
e) 105
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Source: — Problem Solving |

by sreak1089 » Tue Jan 26, 2010 10:22 am
Is it not 5C3 * 7C1 = 70?
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by ajith » Tue Jan 26, 2010 11:13 am
armaan700+ wrote: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 employees consist of 3 women and one man?

a) 22
b) 35
c) 56
d) 70
e) 105
5C3*7C1 = 70
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by kewltot » Tue Jan 26, 2010 12:07 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 employees consist of 3 women and one man?

a) 22
b) 35
c) 56
d) 70
e) 105

Total number of temp employees = 12
Total number of women in temp employees = 5
=> Total number of men in tmep employees = 12 -5 = 7

we need to pick 3 women employees and 1 man among 4 temp employees whoare hired for perm.


=> 5C3 * 7C1 = 70

Answer is d
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