In how many ways we can arrrange the words of letter MISSISSIPPIso that no two 's' come together?

For Questions where we need to separate a particular event, we arrange the other events and create vacanies for the 'S's ie, X_X_X_X_X_X_X_X The letters other than 'S' can occupy any of the blank spaces. So, 7P7/(4!*2!) The 4! and 2! come in denominator because I is repeated 4 times and P 2 times Now the 'S'es can be placed in any of the places marked 'X' So, 8P4/(4!) which is actually 8C4 because they are identical bodies :) So final answer is 7P7*8P4/(4!*4!*2!) = 7350 Cheers

answer is different