In how many different ways can you seat 7 men and 3 women in

In how many different ways can you seat 7 men and 3 women in a row if the men all sit together and the women all sit together? (b) How many ways are there for seven men and three women to stand in a line so that no two women stand next to each other?

Solution

a)
When 7men and 3 women sit together then the no of ways = 7! * 3!

b)
When no two women stand next to each other , no of ways =
MMWMWMWMM = :((3-1)! * 7!)/(2! * 2!)