Last visit was: 22 Dec 2024, 22:48 It is currently 22 Dec 2024, 22:48

Close

GRE Prep 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 GRE 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
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11273 [4]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11273 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Retired Moderator
Joined: 07 Jan 2018
Posts: 739
Own Kudos [?]: 1462 [0]
Given Kudos: 93
Send PM
Target Test Prep Representative
Joined: 09 May 2016
Status:Head GRE Instructor
Affiliations: Target Test Prep
Posts: 183
Own Kudos [?]: 276 [1]
Given Kudos: 114
Location: United States
Send PM
Re: What is the difference between the number of three-member co [#permalink]
Expert Reply
1
Bookmarks
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
Senior Manager
Senior Manager
Joined: 17 Aug 2019
Posts: 381
Own Kudos [?]: 203 [1]
Given Kudos: 96
Send PM
Re: What is the difference between the number of three-member co [#permalink]
1
Not an OG Big book question
Manager
Manager
Joined: 10 Dec 2020
Posts: 50
Own Kudos [?]: 90 [1]
Given Kudos: 955
GRE 1: Q166 V162
Send PM
Re: What is the difference between the number of three-member co [#permalink]
1
Actual source: Princeton-Review ref.
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5095
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: What is the difference between the number of three-member co [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
Re: What is the difference between the number of three-member co [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

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