(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# How many ways are there for four men and five women ..

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