1. The problem statement, all variables and given/known data How many different arrangements can be made with these 5 cards? There are 5 different cards laid out next to each other. How many different arrangements can be made so that one of the inner cards is never on either end? 2. Relevant equations None, probably 3. The attempt at a solution I know the answer (72), but I have no idea how to get it. It's basic probability, so there should be a simple way of getting it (i.e., no formulas)... I tried 252 minus 5 because I didn't know what else to do. Can someone help guide me?