A certain company has 18 equally qualified applicants for 4 : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 10:49

### 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:

### Hide Tags

Manager
Joined: 21 Mar 2007
Posts: 73
Followers: 1

Kudos [?]: 78 [1] , given: 0

A certain company has 18 equally qualified applicants for 4 [#permalink]

### Show Tags

07 Mar 2008, 03:12
1
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:48) correct 13% (01:05) wrong based on 336 sessions

### HideShow timer Statistics

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: 2

Kudos [?]: 61 [1] , given: 0

### Show Tags

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

Math Expert
Joined: 02 Sep 2009
Posts: 36520
Followers: 7065

Kudos [?]: 92898 [1] , given: 10528

Re: GMATPrep 18 equally qualified applicants for 4 open position [#permalink]

### Show Tags

07 Sep 2010, 09:59
1
KUDOS
Expert's post
2
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 $$C^4_{18}=\frac{18!}{14!*4!}=3060$$.

_________________
Math Forum Moderator
Joined: 20 Mar 2014
Posts: 2654
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 116

Kudos [?]: 1336 [1] , given: 789

A certain company has 18 equally qualified applicants for 4 [#permalink]

### Show Tags

22 Oct 2015, 13:00
1
KUDOS
Expert's post
GMATDemiGod wrote:
Bunuel wrote:
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 $$C^4_{18}=\frac{18!}{14!*4!}=3060$$.

if order mattered how would this problem change?

If the order mattered, then the 4 people you selected out of 18 via 18C4 need to be multiplied by 4 to account for the fact that 4 positions will themselves be arranged in 4! ways.

Thus total ways possible with an ordered set = 18C4* 4!
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Manager
Joined: 30 May 2010
Posts: 190
Followers: 3

Kudos [?]: 185 [0], given: 32

A certain company has 18 equally qualified applicants for 4 [#permalink]

### Show Tags

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
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13412
Followers: 575

Kudos [?]: 163 [0], given: 0

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

### Show Tags

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: 13412
Followers: 575

Kudos [?]: 163 [0], given: 0

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

### Show Tags

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.
_________________
VP
Joined: 08 Jul 2010
Posts: 1440
Location: India
GMAT: INSIGHT
WE: Education (Education)
Followers: 68

Kudos [?]: 1405 [0], given: 42

A certain company has 18 equally qualified applicants for 4 [#permalink]

### Show Tags

09 Aug 2015, 05:19
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

Feel free to give a Kudos if it is a useful post .

Manager
Joined: 23 Sep 2015
Posts: 96
Concentration: General Management, Finance
GMAT 1: 680 Q46 V38
GMAT 2: 690 Q47 V38
GPA: 3.5
Followers: 0

Kudos [?]: 14 [0], given: 213

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

### Show Tags

22 Oct 2015, 12:51
Bunuel wrote:
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 $$C^4_{18}=\frac{18!}{14!*4!}=3060$$.

if order mattered how would this problem change?
Manager
Joined: 05 Jul 2015
Posts: 110
GMAT 1: 600 Q33 V40
GPA: 3.3
Followers: 0

Kudos [?]: 20 [0], given: 3

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

### Show Tags

25 Nov 2015, 21:08
18 * 17 * 16 * 15
Is a little bigger than 20*15*15*15

Divide away 4*3*2

5*5*15*15/2

Little more than close to 3,000

Tip: Multiplying by 15 is quick and easy. Add a 0 (*10) and then add half of the number
Re: A certain company has 18 equally qualified applicants for 4   [#permalink] 25 Nov 2015, 21:08
Similar topics Replies Last post
Similar
Topics:
2 For an employee to qualify for early retirement at a certain 6 25 Nov 2012, 23:12
5 Of the 12 temporary employees in a certain company, 4 will 9 09 Jul 2012, 08:25
At a certain company, each employee has a salary grade s 6 28 Jan 2012, 03:08
3 Of 30 applicants for a job, 14 had at least 4 years' experience, 18 ha 6 20 Oct 2010, 01:58
10 A certain company has records stored with a record storage 6 23 Dec 2009, 17:39
Display posts from previous: Sort by