Question

There are 5 men and 5 ladies to dine at a round table. In how many ways can they sit so that no ladies are together?

Answer 1

Let first arranged 5 men in the round table by 4! (By using the formula (n-1)! Mention above) 

Now there are 5 gaps created between 5 men (check the figure) 

So we arrange 5 ladies in this gap by 5! 

A total number of ways to arrange 5 men and 5 ladies is 5! x 4! = 2880