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by dferm » Mon Mar 24, 2008 12:41 pm
A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior officers and 1 junior officer, how many different committees are possible?

A. 8
B. 24
C. 58
D. 80
E. 210
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by xilef » Mon Mar 24, 2008 1:06 pm
different ways you can select 3 out of 6 people:

6!/(3!*3!)=20

different ways you can select 1 out of 4 people is 4


different committees you can have is 20*4=80

Answer D.
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GMAT QUEST PROB..

by dferm » Mon Mar 24, 2008 1:21 pm
What formula are you using?
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Re: GMAT QUEST PROB..

by Stuart@KaplanGMAT » Mon Mar 24, 2008 1:49 pm
dferm wrote:What formula are you using?
The combinations formula.

If n is the total number of items and k is the number that we want to choose, then:

nCk = n!/k!(n-k)!
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