- #1
r0bHadz
- 194
- 17
Homework Statement
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?
Homework Equations
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?