Q11 of 42 Page 156

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

In the given word ASSASSINATION, there are 4 ‘S’. Since all the 4 ‘S’ have to be arranged together so let as take them as one unit.

The remaining letters are= 3 ‘A’, 2 ‘I’, 2 ‘N’, T


The number of letters to be arranged are 9 (including 4 ‘S’)


Using the formula where n is number of terms and p1, p2 p3 are the number of times the repeating letters repeat themselves.


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


Putting the values in formula we get



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