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Combinatorics

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Seating People Around a Table

COMBIN-9DYEXL

How many ways are there to seat 4 men and 4 women alternately (man-woman-man-woman...) around a circular table?

Two seatings are regarded as the same if in both of them each person has the same person to his or her right and the same person to his or her left.

A

$7!$

B

$8!/2$

C

$2^4\cdot 2^4$

D

$3!\cdot 3!$

E

$4!\cdot 4!$

F

$3!\cdot 4!$