My thoughts on the problem are that the number of ways the women can be adjacent to each other is $5!$ and the total number of arrangements for all the people is $10!$. Is this correct?
[Math] $6$ women and $4$ men wait in line. If their order in line is random, find the probability that all of the women are adjacent to one another.
combinatoricspermutations
Best Answer
Some hints: $10$ people can be arranged in a line in $10!$ ways. Four men and a bench can be arranged in $5!$ ways. Six women can be placed on the bench in $6!$ ways.