The number of ways of arranging 9 men and 5 women around a circular table so that no two women come together are

Step-by-step solution

First fix the men in circular arrangement, which can be done in (9-1)!=8 ! ways Now, there are 9 places between the men and 5 womens to be seated between the men. That can be done in ^9 P ₅ ways. Total no. of ways to sit =8! ^9 P ₅