Question

5 girls and 5 boys are to be seated around a circular table such that no 2 girls sit toghether. The no of ways in which they can be seated is?

Answer 1

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

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

Step1: Fix all the boys first around the table. This can be done in (5-1)!

Step2: Now we have 5 places inbetween these men where we can fit available 5 Women. This can be done in 5! Ways.

• Total number of ways = 4! x 5!