Last visit was: 08 Sep 2026, 20:59 It is currently 08 Sep 2026, 20:59
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 08 Sep 2026
Posts: 113,269
Own Kudos:
840,134
Given Kudos: 111,389
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,269
Kudos: 840,134
The co-op board of a certain residential building must consist of two 01 May 2019, 00:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

88% (01:24) correct 12% (01:39) wrong based on 139 sessions

History

Date
Time
Result
Not Attempted Yet
The co-op board of a certain residential building must consist of two men and three women. If there are six men and seven women who want to be on the committee, how many different make-ups of the committee exist?

A. 65
B. 525
C. 1,050
D. 1,287
E. 100,800
ShowHide Answer
Official Answer
B
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 08 Sep 2026
Posts: 7,312
Own Kudos:
17,476
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 7,312
Kudos: 17,476
The co-op board of a certain residential building must consist of two 01 May 2019, 01:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The co-op board of a certain residential building must consist of two men and three women. If there are six men and seven women who want to be on the committee, how many different make-ups of the committee exist?

A. 65
B. 525
C. 1,050
D. 1,287
E. 100,800
Show more

two men and three women to be selected out of six men and seven women

Total ways = 6C2 * 7C3 = 15 * 35 = 525

Answer: Option B
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 08 Sep 2026
Posts: 8,814
Own Kudos:
5,336
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,814
Kudos: 5,336
The co-op board of a certain residential building must consist of two 01 May 2019, 02:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The co-op board of a certain residential building must consist of two men and three women. If there are six men and seven women who want to be on the committee, how many different make-ups of the committee exist?

A. 65
B. 525
C. 1,050
D. 1,287
E. 100,800
Show more

men ; 6c2 ; woment 7c3
solve 525
IMO B
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 08 Sep 2026
Posts: 22,735
Own Kudos:
26,951
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,735
Kudos: 26,951
The co-op board of a certain residential building must consist of two 29 Mar 2020, 04:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The co-op board of a certain residential building must consist of two men and three women. If there are six men and seven women who want to be on the committee, how many different make-ups of the committee exist?

A. 65
B. 525
C. 1,050
D. 1,287
E. 100,800
Show more

6C2 x 7C3 = [(6 x 5) / 2] x [(7 x 6 x 5) / (3 x 2)] = 15 x 35 = 525

Answer: B
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,651
Own Kudos:
21,392
Given Kudos: 165
Expert
Expert reply
Posts: 3,651
Kudos: 21,392
The co-op board of a certain residential building must consist of two 29 Mar 2020, 07:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution



Given
In this question, we are given that
    • The co-op board of a certain residential building must consist of two men and three women.
    • There are six men and seven women who want to be on the committee.

To find
We need to determine
    • The number of different committees that can exist

Approach and Working out
In the formation of the committee,
    • 2 men need to be chosen from 6 men in \(^6C_2\) or 15 ways
    • 3 women need to be chosen from 7 women in \(^7C_3\) or 35 ways

Hence, the number of ways the formation can be done = 15 x 35 = 525


Thus, option B is the correct answer.

Correct Answer: Option B
Moderator:
Bunuel
Math Expert
113269 posts