JEE Main2012MathematicsPermutation and CombinationActual
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
- A6 ! 7 !
- B(6 !)^2
- C(7 !)^2
- D7 !
Correct answer
A. 6 ! 7 !
Step-by-step solution
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 !