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A certain company has 18 equally qualified applicants for 4

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Manager
Manager
Joined: 21 Mar 2007
Posts: 76
Followers: 1

Kudos [?]: 9 [0], given: 0

A certain company has 18 equally qualified applicants for 4 [#permalink] New post 07 Mar 2008, 03:12
A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
A) 18
B) 72
C) 180
D) 1260
E) 3060

Please explain
Manager
Manager
Joined: 31 Oct 2007
Posts: 116
Location: Frankfurt, Germany
Followers: 1

Kudos [?]: 20 [0], given: 0

Re: GMAT Prep Q [#permalink] New post 07 Mar 2008, 03:18
This is a combination question since order is not important.

n!
--------
k! (n-k!)

= 18!
--------
4! 14!

= 18 * 17 * 16 * 15 * 14!
---------------------------
4 * 3 * 2 * 1 * 14!

= 3060 (Ans: E)
_________________

Jimmy Low, Frankfurt, Germany
Blog: http://mytrainmaster.wordpress.com
GMAT Malaysia: http://gmatmalaysia.blogspot.com

Re: GMAT Prep Q   [#permalink] 07 Mar 2008, 03:18
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A certain company has 18 equally qualified applicants for 4

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