Last visit was: 24 Apr 2026, 14:44 It is currently 24 Apr 2026, 14:44
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
rxs0005
User avatar
Joined: 07 Jun 2004
Last visit: 21 Jun 2017
Posts: 436
Own Kudos:
3,310
 [11]
Given Kudos: 22
Location: PA
Posts: 436
Kudos: 3,310
 [11]
3 men and 3 women need to be seated in 2 rows with 3 chairs 28 Sep 2010, 06:47
3
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

69% (00:55) correct 31% (01:03) wrong based on 241 sessions

History

Date
Time
Result
Not Attempted Yet
3 men and 3 women need to be seated in 2 rows with 3 chairs in each row. All men have to be seated in the back row . How many ways can this be done.

A. 6
B. 12
C. 24
D. 36
E. 72
ShowHide Answer
Official Answer
D
avatar
Bruno2000
avatar
Joined: 30 Mar 2010
Last visit: 10 Nov 2010
Posts: 3
Own Kudos:
1
 [1]
Given Kudos: 4
Posts: 3
Kudos: 1
 [1]
3 men and 3 women need to be seated in 2 rows with 3 chairs 28 Sep 2010, 07:01
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
_ _ _ = 3! ways women can be seated
_ _ _ = 3! ways men can be seated
3! x 3!= 36 ways total
Does anyone else agree?
User avatar
rxs0005
User avatar
Joined: 07 Jun 2004
Last visit: 21 Jun 2017
Posts: 436
Own Kudos:
3,310
Given Kudos: 22
Location: PA
Posts: 436
Kudos: 3,310
3 men and 3 women need to be seated in 2 rows with 3 chairs 28 Sep 2010, 07:10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I agree

what i had a doubt was since men have to be in the back row thats 3! ways and because of this women will be in the front row thats 3! why cant it be 6 + 6 = 12 ways since the row restriction is already in place
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,068
 [4]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,068
 [4]
3 men and 3 women need to be seated in 2 rows with 3 chairs 28 Sep 2010, 07:22
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
rxs0005
I agree

what i had a doubt was since men have to be in the back row thats 3! ways and because of this women will be in the front row thats 3! why cant it be 6 + 6 = 12 ways since the row restriction is already in place
Show more

Principle of Multiplication
If one event can occur in \(m\) ways and a second can occur independently of the first in \(n\) ways, then the two events can occur in \(mn\) ways.

Or consider this: for one particular arrangement of men, say {m1, m2, m3} women in the front row can be arranged in 3!=6 ways, as total # of arrangements of men is 3!=6 then total # of arrangements of men and women is 3!*3!=36.

Hope it's clear.
User avatar
Lethal
User avatar
Joined: 23 Apr 2009
Last visit: 04 Mar 2011
Posts: 42
Own Kudos:
6
Given Kudos: 4
Location: Texas
Posts: 42
Kudos: 6
3 men and 3 women need to be seated in 2 rows with 3 chairs 28 Sep 2010, 08:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Front: 3! = 6

Back: 3! = 6

6*6=36
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,974
Own Kudos:
1,117
Posts: 38,974
Kudos: 1,117
3 men and 3 women need to be seated in 2 rows with 3 chairs 25 Feb 2026, 12:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109818 posts
Krunaal
Tuck School Moderator
853 posts