Last visit was: 24 Apr 2026, 00:29 It is currently 24 Apr 2026, 00:29
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
marcodonzelli
User avatar
Joined: 22 Nov 2007
Last visit: 22 Aug 2014
Posts: 626
Own Kudos:
3,263
 [1]
Posts: 626
Kudos: 3,263
 [1]
A university needs to select a nine-number committee on 30 Jan 2008, 23:07
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A university needs to select a nine-number committee on extracurricular life, whose members must belong to the student government or to the student advisory board. If the student government consists of 10 members, the students advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committees are possible?

72
110
220
720
1096



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
kbulse
User avatar
Joined: 01 Jan 2008
Last visit: 22 Jan 2014
Posts: 138
Own Kudos:
119
 [1]
Given Kudos: 2
Concentration: Finance, entrepreneurship
Schools:Booth, Stern, Haas
Posts: 138
Kudos: 119
 [1]
A university needs to select a nine-number committee on 31 Jan 2008, 04:24
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
marcodonzelli
A university needs to select a nine-number committee on extracurricular life, whose members must belong to the student government or to the student advisory board. If the student government consists of 10 members, the students advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committees are possible?

72
110
220
720
1096
Show more

I think it is C

We have to find how many students we can choose from

10+8-6=12

We have nine places to locate them
12C9=12!/9!3!=220

is it correct?
User avatar
eschn3am
User avatar
Joined: 12 Jul 2007
Last visit: 03 Apr 2017
Posts: 394
Own Kudos:
586
Posts: 394
Kudos: 586
A university needs to select a nine-number committee on 31 Jan 2008, 04:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kazakhb
what does it mean?
Show more

You nailed it!

We have to find out how big our pool of choices is, in this case it's 12 people (10+8-6=12).

Now we know we have 12 eligible people to choose from, since order doesn't matter in our committee we need to find how many combinations of 9 people there are in our group of 12.

12C9 = 220

Answer C
User avatar
kbulse
User avatar
Joined: 01 Jan 2008
Last visit: 22 Jan 2014
Posts: 138
Own Kudos:
119
Given Kudos: 2
Concentration: Finance, entrepreneurship
Schools:Booth, Stern, Haas
Posts: 138
Kudos: 119
A university needs to select a nine-number committee on 31 Jan 2008, 04:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
eschn3am
kazakhb
what does it mean?

You nailed it!

We have to find out how big our pool of choices is, in this case it's 12 people (10+8-6=12).

Now we know we have 12 eligible people to choose from, since order doesn't matter in our committee we need to find how many combinations of 9 people there are in our group of 12.

12C9 = 220

Answer C
Show more
It is my first right answer in combs and perms;)
User avatar
eschn3am
User avatar
Joined: 12 Jul 2007
Last visit: 03 Apr 2017
Posts: 394
Own Kudos:
586
Posts: 394
Kudos: 586
A university needs to select a nine-number committee on 31 Jan 2008, 05:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kazakhb
eschn3am
kazakhb
what does it mean?

You nailed it!

We have to find out how big our pool of choices is, in this case it's 12 people (10+8-6=12).

Now we know we have 12 eligible people to choose from, since order doesn't matter in our committee we need to find how many combinations of 9 people there are in our group of 12.

12C9 = 220

Answer C
It is my first right answer in combs and perms;)
Show more

The first of many I'm sure! Once you begin to understand the logic behind combs, perms and probability they almost become easier than most other problems. Like with most things on the GMAT, practice, practice, practice is key.
User avatar
GMATBLACKBELT
User avatar
Joined: 29 Mar 2007
Last visit: 03 Jun 2013
Posts: 1,138
Own Kudos:
1,912
Posts: 1,138
Kudos: 1,912
A university needs to select a nine-number committee on 31 Jan 2008, 16:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
marcodonzelli
A university needs to select a nine-number committee on extracurricular life, whose members must belong to the student government or to the student advisory board. If the student government consists of 10 members, the students advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committees are possible?

72
110
220
720
1096
Show more

I believe we should treat this as a double matrix at first or venn b/c we have some overlap of members here.

10-6 = 4. 8-6=2 So 4+2+6 = 12 total members

12!/9!*3! ---> 220

C



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!