There are 3 women (A, B, C) and 3 men (D, E, F). How many ways can the 6 of them line up such that:
1.) No restrictions apply?
2.) Men and women have to alternate?
3.) First and last person in the line are women?
4.) A and D will not stand next to each other?
I'm not sure how to go about these counting questions.
For #1, I believe it'd just be 6!, right?