1. The problem statement, all variables and given/known data How many ways are there for four men and five women to stand in a line so that All men stand together? All women stand together? 2. Relevant equations 3. The attempt at a solution For all men stand together, you can group the 4 men as one token, then there are (1+5)! ways the men and women can stand in a line, but the four men can be arranged in 4! ways so the answer would be (1+5)!(4!) = (6!)(4!) similar for women let 5 women = one token, then you have (1+4)! but the 5 women can be arranged 5! ways so you have (5!)(5!) as the answer is there anything I am missing?