If the letters of the word ‘MISSISSIPPI’ are written down at random in a row, what is the probability that four S’s come together.

Letters of MISSISSIPPI has 11 letters. Out of which 4 S’s are repeating, 4 I’s are repeating and 2 P’s are also repeating.


By Permutation theory.


Letters of MISSISSIPPI can be arranged in


Take 4 S’s together and treat them as single letter. Now we have


8 letters in together – MI(SSSS)IIPPI MI(X)IIPPI


Letters of MI(X)IIPPI can be arranged in


P(4’S come together) =


6