NEW HERE? LEARN MORE
closeclose
It is currently 19 Apr 2024, 19:53
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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

From a total of 5 boys and 4 girls, how many 4-person committees can

9 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92760
CAT Tests Forum Quiz Mode
From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  26 Mar 2015, 04:21
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

81% (00:59) correct 19% (01:18) wrong based on 294 sessions
Hide Show timer Statistics
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240

Kudos for a correct solution.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
Lucky2783
Senior Manager
Senior Manager
Joined: 07 Aug 2011
Posts: 425
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
GMAT ToolKit User
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  26 Mar 2015, 06:03
1
Kudos
Bunuel wrote:
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240

Kudos for a correct solution.


Answer C

\(C^2_5 * C^2_4 = 60\)
User avatar
P
KS15
Director
Director
Joined: 21 May 2013
Posts: 540
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  27 Mar 2015, 00:08
1
Kudos
Bunuel wrote:
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240

Kudos for a correct solution.


Answer=C=60

No of 4 person committees that can be formed=5C2*4C2=60
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92760
CAT Tests Forum Quiz Mode
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  30 Mar 2015, 03:47
1
Bookmarks
Expert Reply
Bunuel wrote:
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
Counting_and_Prob_Committees.png
Counting_and_Prob_Committees.png [ 26.21 KiB | Viewed 18119 times ]

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
SavageBrother
Manager
Manager
Joined: 18 Dec 2014
Posts: 95
From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  30 Mar 2015, 09:30
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240


5 boys, 4 girls

((5!) / (2!3!)) x ((4!) / (2!2!)).

5! / 2!3! = 10
4! / 2!2! = 6

10 x 6 = 60.

C.
avatar
B
OptimusPrepJanielle
SVP
SVP
Joined: 06 Nov 2014
Posts: 1799
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  31 Mar 2015, 05:24
Expert Reply
Bunuel wrote:
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240

Kudos for a correct solution.


2 boys can be selected from 5 boys in 5C2 ways = 10 ways
2 girls can be selected from 4 girls in 4C2 ways = 6 ways

Hence total number of ways = 10 * 6 = 60 ways.
Hence option (C).

--
Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: https://www.optimus-prep.com/gmat-on-demand-course
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  17 Apr 2018, 16:27
1
Kudos
Expert Reply
Bunuel wrote:
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240


We can select 2 girls in 4C2 = (4 x 3)/2! = 6 ways.

We can select 2 boys in 5C2 = (5 x 4)/2! = 10 ways.

So the group can be formed in a total of 6 x 10 = 60 ways.

Answer: C
_________________
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
Signature Read More
User avatar
G
jfranciscocuencag
Manager
Manager
Joined: 12 Sep 2017
Posts: 239
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  11 Feb 2020, 18:45
Why is it wrong to do it like:

5*4 for boys and 4*3 of girls?

Giving 240?

Kind regards!
avatar
B
CMIREK
Intern
Intern
Joined: 22 Mar 2018
Posts: 14
Location: Chile
Concentration: Marketing, International Business
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink] New post  01 Aug 2020, 10:42
jfranciscocuencag wrote:
Why is it wrong to do it like:

5*4 for boys and 4*3 of girls?

Giving 240?

Kind regards!


Since order doesn't matter, you would still need to get rid of duplicate groups for both boys and girls. In 5*4, you are duplicating so you would need to divide by 2, and the same for 4*3 in girls. Or you can divide 240 by 4 and get the correct answer of 60.
GMAT Club Bot
gmatclubot
Re: From a total of 5 boys and 4 girls, how many 4-person committees can [#permalink]
01 Aug 2020, 10:42
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92760 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions