In how many ways can the letters of the word E L E E M O S Y N A R Y be arranged so that the S is always immediately followed by a Y? Solution Think of YS as one letter. Then the number of arrangements is: 11!/(3!*2!) = 3,326,400 You divide by 3! since that\'s how many ways you can permute the letter E, and the 2! for the Y..