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:
Solutions · 1
Official solution
Arrange 7 women around the circle first: (7−1)!=6! ways, creating 7 gaps. Place the 7 men into these 7 gaps: 7! ways.
\[\text{Total} = 6!\times7!\]