In how many ways can the letters of the word "ASSASSINATION" can be arranged so that all S's are together?

Step-by-step solution

There are total 13 letters in the word "ASSASSINATION" 3 A's, 4 S's, 2 I's, 2 N's, 1 T's, 1 O's Let all S^ be represented by a single letter Z New word is AAINAIONZ. Total number of ways of forming a way taken all S's are together = 4 ! 10 ! 3 ! 4 ! 2 ! 2 ! = 10 ! 3 ! 2 ! 2 !