Question

there are 5 men and 5 ladies to dine at a round table. In how many ways they can seat themselves so that no two ladies are together?

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!


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