Question

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

Answer 1

In the given word there are 13 letters of which S-4, A-3,1-2,

N-2,0-1, T-l.

Since all four S’s are together then we treat them as a single object (letter). This single object (letter)

∴ These 10 items can be arranged in 10!/2!2!

∴ Required numbers of words

= (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3)/(2 x 1) = 907200