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Question
In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?
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Solution
The word ASSASSINATION consists of 13 letters including three As, four Ss, two Ns and two Is.
Considering all the Ss are together or as a single letter, we are left with 10 letters. Out of these, there are three As, two Ns and two Is.
Number of words in which all the Ss are together = Permutations of 10 letters of which three are similar to the first kind, two are similar to the second kind and two are similar to the third kind =\[\frac{10!}{2!2!3!}\]= 151200
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