Question

5 men and 4 women are to be seated in a row so that women occupy the even places. How many 5 girls can be arranged in a row so that no two such arrangements are possible….

Answer 1

Totally there are 9 people 

m w m w m w m w m 

There are four even places where 4 women can be seated in 4! ways. The 5 men be seated in the odd places in 5! ways. 

∴ The total number of ways is 5! 4!