It is currently 21 Feb 2018, 17:10

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A student committee that must consists of 5 members is to be formed

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
B
Joined: 13 Oct 2013
Posts: 132
Concentration: Strategy, Entrepreneurship
GMAT ToolKit User Premium Member
A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 10 Dec 2014, 12:35
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:26) correct 9% (00:09) wrong based on 159 sessions

HideShow timer Statistics

A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible

A. 5
B. 8
C. 40
D. 56
E. 336

I am getting answer 93.
Pls help!!
[Reveal] Spoiler: OA

_________________

---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way :)

Manager
Manager
User avatar
B
Joined: 13 Oct 2013
Posts: 132
Concentration: Strategy, Entrepreneurship
GMAT ToolKit User Premium Member
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 10 Dec 2014, 12:37
I think i got the answer.
I thought this is asking for At least 5 members.


sunita123 wrote:
A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible
a 5
b 8
c 40
d 56
e 336

I am getting answer 93.
Pls help!!

_________________

---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way :)

Intern
Intern
avatar
Joined: 03 Nov 2014
Posts: 2
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 10 Dec 2014, 21:12
I think the answer is 56.

Out of 8 people, any 5 can be selected for a committee. So 8c5 is the answer.
Intern
Intern
User avatar
Joined: 19 Oct 2013
Posts: 8
GMAT Date: 09-17-2014
GPA: 2.93
WE: Information Technology (Computer Software)
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 10 Dec 2014, 22:25
sunita123 wrote:
I think i got the answer.
I thought this is asking for At least 5 members.


sunita123 wrote:
A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible
a 5
b 8
c 40
d 56
e 336

I am getting answer 93.
Pls help!!


They need to form committee of only 5 members, so out of 8 you need to pick only 5
YYYYYNNN, 5Y indicates selected candidates and 3N indicates those who were not selected...so that turns out to be simple arrangement problem with 5 like and 3 like terms - 8!/(5!*3!)
Hope it helps, regards
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7944
Location: Pune, India
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 10 Dec 2014, 22:38
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
sunita123 wrote:
A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible
a 5
b 8
c 40
d 56
e 336

I am getting answer 93.
Pls help!!



I am guessing you are getting 93 by doing this: 8C5 + 8C6 + 8C7 + 8C8 = 56 + 28 + 8 + 1 = 93
But note that the committee must consist of 5 members, not at least 5 members. Hence, all you have to do is 8C5 = 56

Answer (D)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13815
Premium Member
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 04 Jan 2017, 19:55
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
S
Joined: 24 Oct 2016
Posts: 317
Location: India
Concentration: Finance, International Business
Schools: IIMB
GMAT 1: 550 Q42 V28
GPA: 3.96
WE: Human Resources (Retail Banking)
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 18 May 2017, 23:17
this is quite simple see as we have told a committee is to be selected it means the order of selection does not matter here

now we can select by this method,which calls slot method.

8x7x6x5x4/1x2x3x4x5= 56

hope its clear
Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 22 May 2017, 17:53
sunita123 wrote:
A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible

A. 5
B. 8
C. 40
D. 56
E. 336


Since we are selecting a committee, the order of selection does not matter and we have a combination.

We need to select 5 members from 8; thus 8C5:

8C5 = 8!/[5!(8-5)!] = 8!/(5!3!) = (8 x 7 x 6)/3! = (8 x 7 x 6)/(3 x 2) = 8 x 7 = 56

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Expert Post
EMPOWERgmat Instructor
User avatar
D
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11046
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: A student committee that must consists of 5 members is to be formed [#permalink]

Show Tags

New post 08 Feb 2018, 11:02
Hi All,

This question can be solved with the Combination Formula:

N!/[K!(N-K)!] where N is the total number of items and K is the number in the sub-group.

We're told that we have to form a committee of 5 members from a total pool of 8 members, so N=8 and K=5. Using the Combination Formula, we have...

8!/[(5!(8-5)!] =

(8)(7)(6)(5)(4)(3)(2)(1) / (5)(4)(3)(2)(1)(3)(2)(1) =

(8)(7)(6) / (3)(2)(1) =

(8)(7) / 1 =

56 different combinations of 5 members.

Final Answer:
[Reveal] Spoiler:
D


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: A student committee that must consists of 5 members is to be formed   [#permalink] 08 Feb 2018, 11:02
Display posts from previous: Sort by

A student committee that must consists of 5 members is to be formed

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.