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A certain company has 18 equally qualified applicants for 4

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A certain company has 18 equally qualified applicants for 4 [#permalink] New post 07 Mar 2008, 03:12
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (01:42) correct 11% (00:50) wrong based on 60 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.
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Re: GMAT Prep Q [#permalink] New post 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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A certain company has 18 equally qualified applicants for 4 [#permalink] New post 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
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Re: GMATPrep 18 equally qualified applicants for 4 open position [#permalink] New post 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.

Answer: E.
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Re: A certain company has 18 equally qualified applicants for 4 [#permalink] New post 02 May 2014, 10:44
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] 02 May 2014, 10:44
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