In how many ways can 4 men and 4 women sit at a round table : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 07:22

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In how many ways can 4 men and 4 women sit at a round table

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Director
Joined: 19 Nov 2004
Posts: 559
Location: SF Bay Area, USA
Followers: 4

Kudos [?]: 195 [0], given: 0

In how many ways can 4 men and 4 women sit at a round table [#permalink]

Show Tags

06 Jan 2005, 09:52
00:00

Difficulty:

(N/A)

Question Stats:

75% (01:01) correct 25% (00:01) wrong based on 1 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In how many ways can 4 men and 4 women sit at a round table with no two women in consecutive postions?
A) 24
B) 72
C) 288
D) 144
E) 48
Director
Joined: 19 Nov 2004
Posts: 559
Location: SF Bay Area, USA
Followers: 4

Kudos [?]: 195 [0], given: 0

Show Tags

07 Jan 2005, 11:25
Can somebody try to answer this pl...

I am bumping this up to get more attention
Director
Joined: 07 Nov 2004
Posts: 689
Followers: 6

Kudos [?]: 142 [0], given: 0

Show Tags

07 Jan 2005, 11:29
I think its D.

The only way for two women to not sit in consecutive positions would be for them to alternate with a man. So, it would be 4! * 3! = 24*6= 144.

Similar to the prolem discussed here...
http://www.gmatclub.com/phpbb/viewtopic.php?t=12879
Director
Joined: 19 Nov 2004
Posts: 559
Location: SF Bay Area, USA
Followers: 4

Kudos [?]: 195 [0], given: 0

Show Tags

07 Jan 2005, 11:45
Thanks swath20 and gayathri.
You got it right.
Thanks for the link to understand the concepts behind such problems.
Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 282 [0], given: 2

Show Tags

07 Jan 2005, 12:26
I get D, here is how I did it.

forget about round table just make the sitting that no 2 men are adjacent or women like wise

so the seating looks like this, first chair 4 ways men can sit on it, second chair 4 ways women can sit on it, third chair 3 ways men can sit, fourth chair 3 ways women can sit.

- - - -
M W M W
4 4 3 3 = 144

[/u]
Intern
Joined: 07 Jan 2005
Posts: 14
Followers: 0

Kudos [?]: 0 [0], given: 0

Show Tags

08 Jan 2005, 06:16
fresinha12 wrote:
I get D, here is how I did it.

forget about round table just make the sitting that no 2 men are adjacent or women like wise

so the seating looks like this, first chair 4 ways men can sit on it, second chair 4 ways women can sit on it, third chair 3 ways men can sit, fourth chair 3 ways women can sit.

- - - -
M W M W
4 4 3 3 = 144

[/u]

Can you explain you reasoning a little bit more. I am confused because there are 8 chairs, not 4??

Thanks
Manager
Joined: 25 Aug 2004
Posts: 169
Location: MONTREAL
Followers: 1

Kudos [?]: 30 [0], given: 0

Show Tags

08 Jan 2005, 08:47
Answer: Letâ€™s draw an example

M1 W1 M2 W2 M3 W3 M4 W4

We have 8 persons: 4 men and 4 women

Letâ€™s start with men:

â€¢ M1 has 8 available places, and he can sit anywhere. So, letâ€™s assume that M1 is setting in the first position, so 1
â€¢ M2 has 3 places available, so it is 3
â€¢ M3 has 2 places available so it is 2
â€¢ M4 has only one place available so it is 1

Letâ€™s continue with women:â€¢ The number of places available for W1, W2, W3 and W4 is 4! than 4P4= 4! /(4-4)!

Final answer is multiplying all the different answers which are 1*3*2*1*4! = 144
08 Jan 2005, 08:47
Display posts from previous: Sort by

In how many ways can 4 men and 4 women sit at a round table

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.