Question

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

Answer 1

Number of letters in word ASSASSINATION = 13

In this word A comes 3 times, S comes 4 times, I comes 2 times, N comes 2 times and other letters are different.

Now, taking 4’s together, then consider it as one letter, now adding other 9 letters and thus the permutation formed by 10 letters

= 10!/(2!2!3!)

[Because I comes 2 times, N comes 2 times and A comes 3 times]

Hence, the total number of ways is 151200.