Question 1032390
.
In how many ways can five men and five women be seated


i. on a bench

<pre>
(5 + 5)! = 10! ways if there are no other restrictions.
</pre>

ii. At a round table so that men and women occupy alternate seats.

<pre>
2*5!*5! 

in the "absolute" coordinate system,

and

{{{(5!*5!)/10}}}


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