JEE Main 2012 Mathematics 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
Answer: (1)
Solution
Seat the 7 men around the table: (7 − 1)! = 6!. The women then go into the 7 gaps between men, one each: 7!. Total 6!·7!, option (1).