Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 13 Oct 2015, 13:49

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A certain company has 18 equally qualified applicants for 4

Author Message
TAGS:
Manager
Joined: 21 Mar 2007
Posts: 73
Followers: 1

Kudos [?]: 40 [1] , given: 0

A certain company has 18 equally qualified applicants for 4 [#permalink]  07 Mar 2008, 03:12
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:40) correct 15% (00:54) wrong based on 161 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
Joined: 31 Oct 2007
Posts: 113
Location: Frankfurt, Germany
Followers: 1

Kudos [?]: 33 [1] , given: 0

Re: GMAT Prep Q [#permalink]  07 Mar 2008, 03:18
1
KUDOS
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

Manager
Joined: 30 May 2010
Posts: 189
Followers: 3

Kudos [?]: 83 [0], given: 32

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
Joined: 02 Sep 2009
Posts: 29856
Followers: 4924

Kudos [?]: 53965 [1] , given: 8260

Re: GMATPrep 18 equally qualified applicants for 4 open position [#permalink]  07 Sep 2010, 09:59
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
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 $$C^4_{18}=\frac{18!}{14!*4!}=3060$$.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 6784
Followers: 369

Kudos [?]: 83 [0], given: 0

Re: A certain company has 18 equally qualified applicants for 4 [#permalink]  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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 6784
Followers: 369

Kudos [?]: 83 [0], given: 0

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Director
Joined: 08 Jul 2010
Posts: 910
GMAT: INSIGHT
Followers: 28

Kudos [?]: 567 [0], given: 36

A certain company has 18 equally qualified applicants for 4 [#permalink]  09 Aug 2015, 05:19
Expert's post
japped187 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

Initially There are 18 choices for first Position
Now, There are 17 choices for Second Position
Now, There are 16 choices for Third Position
Now, There are 15 choices for Forth Position

i.e. Total Ways to choose people (With arrangement) = 18*17*16*15

Since we require only the selection hence we need to exclude the arrangements of 4 selected individuals which is 4!

i.e. i.e. Total Ways to choose people (WithOUT arrangement) = (18*17*16*15)/4! = 3060

_________________

Prosper!!!

GMATinsight

Bhoopendra Singh and Dr.Sushma Jha

e-mail: info@GMATinsight.com
Call us : +91-9999687183 / 9891333772

http://www.GMATinsight.com/testimonials.html

Contact for One-on-One LIVE Online (SKYPE Based) Quant/Verbal FREE Demo Class

______________________________________________________
Please press the if you appreciate this post !!

A certain company has 18 equally qualified applicants for 4   [#permalink] 09 Aug 2015, 05:19
Similar topics Replies Last post
Similar
Topics:
For an employee to qualify for early retirement at a certain 4 25 Nov 2012, 23:12
Of the 12 temporary employees in a certain company, 4 will 3 09 Jul 2012, 08:25
At a certain company, each employee has a salary grade s 6 28 Jan 2012, 03:08
8 A certain company has records stored with a record storage 6 23 Dec 2009, 17:39
8 Of the 12 temporary employees in a certain company, 4 will 13 16 Nov 2005, 02:01
Display posts from previous: Sort by