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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: 110
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Seven men and seven women have to sit around a circular [#permalink]

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12 Oct 2006, 12:06
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
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12 Oct 2006, 12:21
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?
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SVP
Joined: 05 Jul 2006
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12 Oct 2006, 12:26
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!

check the answers my man
VP
Joined: 25 Jun 2006
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12 Oct 2006, 19:18
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.
12 Oct 2006, 19:18
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# Seven men and seven women have to sit around a circular

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