my brain is on lock... how to do??

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my brain is on lock... how to do??

by Ogman05 » Mon Oct 05, 2009 5:19 pm
A certain company has 4 open positions. 18 applicants. How many different groups of people can be chosen to fulfill the roles if order of election does not matter. Explanation pls.

A: 18
B: 72
C: 180
D: 1260
E: 3060

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Re: my brain is on lock... how to do??

by umaa » Mon Oct 05, 2009 5:22 pm
Ogman05 wrote:A certain company has 4 open positions. 18 applicants. How many different groups of people can be chosen to fulfill the roles if order of election does not matter. Explanation pls.

A: 18
B: 72
C: 180
D: 1260
E: 3060
IMO E.

18C4 = 3060

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by vineetbatra » Mon Oct 05, 2009 5:26 pm
Is the answer E, it is a combination problwm where you have to choose 4 ppl out of 8.

So it is 18c4 i.e. 18!/(18-4)!*4! = 3060