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Perms and combs help (1 Viewer)

kkk579

hello
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Shouldnt it be (4-1)! x 2! x 2! x 1?

q: Four couples, each consisting of a male and a female, sit around a circular table. In how many different ways is it possible to seat the four couples so that males and females sit in alternating positions and nobody sits next to his or her partner?
Screenshot 2024-04-21 234713.png
 

Hughmaster

Hugh Entwistle
Joined
Jun 25, 2016
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2015
You are missing a few arrangements, for example the males and females could all be sitting in groups (MMMMFFFF) and still be sitting opposite.

The answer would instead be 6*4*2
 

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