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A certain company has 18 equally qualified applicants for 4

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Manager
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A certain company has 18 equally qualified applicants for 4 [#permalink]  07 Mar 2008, 03:12
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Question Stats:

87% (01:37) correct 13% (00:50) wrong based on 120 sessions
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) 1,260
(E) 3,060
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 May 2014, 03:40, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
Manager
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Location: Frankfurt, Germany
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Re: GMAT Prep Q [#permalink]  07 Mar 2008, 03:18
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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)
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Jimmy Low, Frankfurt, Germany
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Manager
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A certain company has 18 equally qualified applicants for 4 [#permalink]  07 Sep 2010, 09:47
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) 1,260
(E) 3,060
Math Expert
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Posts: 28769
Followers: 4588

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Re: GMATPrep 18 equally qualified applicants for 4 open position [#permalink]  07 Sep 2010, 09:59
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Expert's post
jpr200012 wrote:
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) 1,260
(E) 3,060

# of ways to choose 4 different people out of 18, when order of chosen people doesn't matter is $$C^4_{18}=\frac{18!}{14!*4!}=3060$$.

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Re: A certain company has 18 equally qualified applicants for 4 [#permalink]  02 May 2014, 10:44
Hello from the GMAT Club BumpBot!

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Re: A certain company has 18 equally qualified applicants for 4 [#permalink]  06 Jun 2015, 23:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A certain company has 18 equally qualified applicants for 4   [#permalink] 06 Jun 2015, 23:31
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