SOLUTION: In how many ways can five men and five women be seated i. on a bench ii. At a round table so that men and women occupy alternate seats

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Question 1032390: In how many ways can five men and five women be seated
i. on a bench
ii. At a round table so that men and women occupy alternate seats
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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In how many ways can five men and five women be seated

i. on a bench 
(5 + 5)! = 10! ways if there are no other restrictions.

ii. At a round table so that men and women occupy alternate seats. 
2*5!*5! 

in the "absolute" coordinate system,

and

%285%21%2A5%21%29%2F10


if the placements that distinct only by a rotation in the angle around the table are considered as indistinguishable.