m men and w women are to be seated in a row such that all women sit together . the number of ways in which they can be seated is

There are total m men and w women.
The women have to sit together.
So, let there be one unit for them.
So, total no. of units = (m+1)
So, no. of ways in which m men and w women can be seated such that all women are together is :
(m+1)! w! since the w women can arrange themselves in w! ways.