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# Seven men and seven women have to sit around a circular

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Manager
Joined: 07 Jun 2006
Posts: 113
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Kudos [?]: 7 [0], given: 0

Seven men and seven women have to sit around a circular [#permalink]  12 Oct 2006, 11:06
Seven men and seven women have to sit around a circular table so that no 2 women are together. In how many different ways can this be done?
a.24 b.6 c.4 d.12 e.3
Senior Manager
Joined: 28 Aug 2006
Posts: 302
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Hey ,

7 men can be seated arround a table in 6! ways.
Now 7 women can be seated in the 7 places between the men in 7! ways.

So the answer must be 6!x7!

Are u sure that the above options are correct?
_________________
SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Ciceron is right

taking the first man seated as reference point ( because it is a circular arrangment

men has 6! and the other seven women has 7!

VP
Joined: 25 Jun 2006
Posts: 1175
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Kudos [?]: 72 [0], given: 0

but i get 2*7!*7!.

they have to sit alternate. so we just fix the seats for men and for women.

1). men have 7! and women have 7!.

2). now men and women exchange seats. this is another arrangement since they are sitting on different seats. 2 times.

then i get that result.
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