Question

If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman, then the number of seating arrangements is ______.

Options

• 6!7!

• (6!)²

• (7!)²

• 7!

Answer 1

If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman, then the number of seating arrangements is 6!7!.

Explanation:

7 women can be arranged around a circular table in 6! ways.

Among these 7 men can sit in 7! ways.

Hence, number of seating arrangement = 7! × 6!