Question

Question 5
In how many ways can 5 men and 5 women be seated around a circular table having 10 seats such that no man is seated next to another man and no woman is set to
9!
4!*5!
(4!)2
O (5!)2
Submit​

Answer 1

Number of ways to seat 5 men and 5 women in a circular table = 4! * 5!

Step-by-step explanation:

In a Circular arrangement, Total Permutation is (n-1)!

Here we don't want women to sit together, hence we follow these steps.

Fix all the boys first around the table. This can be done in (5-1)! ways.

Now, we have 5 places in between these men where we can fit available 5 Women. This can be done in 5! ways.

So the total number of ways to arrange 5 women and 5 man in such a way that no two women are sitting together on a circular table = 4! * 5!

Option B is the answer.