Q20 of 31 Page 7

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

There are 14 letters in ASSASSINATION.


Now “S” have to be together.


As there are 4s, they can be considered as 1.



Now the remaining 9 letters are A, A, I, N, A, T, I, O, N.


Since letters are repeating so we use the formula .


For this n = 10. Here, there are three A, two I, two N.


Here p1 = 3, p2 = 2, p3= 2


So, number of ways



= 151200 words


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