How many ways can 2 men and 3 women be seated in a row such that no 2 men are sitting beside each other? Now I have always had a problem with overthinking these kinds of questions. I'll usually write something down but then doubt myself. What I did was simply did 2! * 3!. 3 * 2 * 2 * 1 * 1 W M W M W That's by alternating women with men. But here comes me overthinking the problem again. I could altenate with men first, and then have 2 women sitting beside each other. M W M W W right? Or W W M W M.... Ahhh I feel like an idiot.