How many different words can be formed by jumbling the letters

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

  1. 6 . 7 . 8C4
  2. 7 . 6C4 . 8C4
  3. 8 . 6C4 . 7C4
  4. 6 . 8 . 7C4

Answer

Leaving S, we have 7 letters M, I, I, I, P, P, I.

Number of ways of arranging them = 7 . 5 . 3

Four S can be put in 8 places in 8C4 ways.

The required number of ways = 7 . 5 . 3 . 8C4

The correct option is B.