How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

Step-by-step solution

Other than S , seven letters M , I , I , I , P , P , I can be arranged in 7 ! 2 ! 4 ! =7.5 .3 . Now four S can be placed in 8 spaces in ^8 C ₄ ways. Desired number of ways =7.5 3 ^8 C ₄=7 ^6 C ₄ ^8 C ₄