It is currently 17 Nov 2018, 02:35
My Tests

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.

What is the difference between the number of three-member co

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
What is the difference between the number of three-member co [#permalink] New post 30 Dec 2017, 13:34
Expert's post
00:00

Question Stats:

83% (01:44) correct 16% (02:09) wrong based on 6 sessions
What is the difference between the number of three-member committees that can be formed from a group of nine members and the total number of ways there are to arrange the members
of such a committee?

A. 0
B. 84
C. 252
D. 420
E. 504

Drill 1
Question: 9
Page: 560-561

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: What is the difference between the number of three-member co [#permalink] New post 07 Jan 2018, 18:20
Expert's post
Explanation

To find the number of different committees. Make your slots and divide by the factoral \(\frac{9}{3}\frac{8}{2}\frac{7}{1}\)=84; eliminate choice (B).

To find the number of ways to arrange the committee members, just multiply 9 × 8 × 7 = 504, and eliminate partial choice (E). The difference is 504 − 84 = 420, choice D.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 538
Followers: 4

Kudos [?]: 464 [0], given: 82

CAT Tests
Re: What is the difference between the number of three-member co [#permalink] New post 08 Jan 2018, 02:42
understood the solution. I got 84- 3! ( wording of the question made it a bit difficult)
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Target Test Prep Representative
User avatar
Status: Head GRE Instructor
Affiliations: Target Test Prep
Joined: 09 May 2016
Posts: 161
Location: United States
Followers: 4

Kudos [?]: 114 [0], given: 0

Re: What is the difference between the number of three-member co [#permalink] New post 05 Jun 2018, 09:10
Expert's post
sandy wrote:
What is the difference between the number of three-member committees that can be formed from a group of nine members and the total number of ways there are to arrange the members
of such a committee?

A. 0
B. 84
C. 252
D. 420
E. 504


The number of 3-member committees that can be formed from 9 people (i.e., order doesn’t matter) is 9C3 = 9!/(3! x 6!) = (9 x 8 x 7)/3! = (9 x 8 x 7)/(3 x 2) = 3 x 4 x 7 = 84.

The number of ways to form the committees and arrange the members (i.e., order matters) is 9P3 = 9 x 8 x 7 = 504.

Thus, the difference is 504 - 84 = 420.

Answer: D
_________________

Jeffery Miller
Head of GRE Instruction

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

Re: What is the difference between the number of three-member co   [#permalink] 05 Jun 2018, 09:10
Display posts from previous: Sort by

What is the difference between the number of three-member co

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.