1. The problem statement, all variables and given/known data 6 men and 3 women are arranged in a line Find the number of ways: A)That they can be arranged without any restrictions B)They can line up with no 2 women next to each other 2. Relevant equations 3. The attempt at a solution A)Well that is simply 9! B)This is where it is hard...I thought to find the number of ways that 3 women next to each other could have been arranged and then subtract this from 9!. But then I also have to subtract with 2 women next to each other,but there is a problem if I find this,this accounts for that there could be an instant when there are 3 women next to each other. any help on this part?