1. The problem statement, all variables and given/known data In how many ways can the letters of the word POTATOES be arranged in a circle? 2. Relevant equations n distinguishable objects can be arranged in a circle in (n-1)! ways. 3. The attempt at a solution O and T both have two identical copies so it should be 7!/(2!2!)=1260 But the answers suggested 150. Can't see where I made my mistake.