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# how many different ways to seat 6 people around a circular

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Current Student
Joined: 31 Aug 2007
Posts: 365
how many different ways to seat 6 people around a circular [#permalink]

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01 Aug 2008, 13:56
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how many different ways to seat 6 people around a circular table if 2 of the 6 refuse to sit adjacent to one another?
96?

hmm agree 72

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Last edited by young_gun on 01 Aug 2008, 16:11, edited 1 time in total.
Intern
Joined: 28 May 2008
Posts: 7

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01 Aug 2008, 14:38
my guess 72
total ways = 5! = 120
pair together = 2*4! = 48
Manager
Joined: 28 Apr 2008
Posts: 110

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31 Oct 2008, 08:29
1
KUDOS
I think it's 72

6 people can seated in 5! ways around a round table.

if 2 cant sit in ajacent seats- one of then has only 3c1 seats and te rest have 4! wayr to be seated.

we are left with 3*4!= 72 ways
Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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01 Nov 2008, 07:33
why does the permutation of n objects become (n-1)! in a circle?
_________________

kris

Manager
Joined: 07 Jul 2007
Posts: 125

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01 Dec 2008, 19:20
It is because if you take for example 3 elements in circle called A, B and C then there possible arrangements in circle are

ABC
CAB
BCA

These three arrangements in circle are same....if you arrage them in circle then you will realize how it is.
Manager
Joined: 07 Jul 2007
Posts: 125

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01 Dec 2008, 19:20
It is because if you take for example 3 elements in circle called A, B and C then there possible arrangements in circle are

ABC
CAB
BCA

These three arrangements in circle are same....if you arrage them in circle then you will realize how it is.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS seating   [#permalink] 01 Dec 2008, 19:20
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