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

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

The word ASSASSINATION has three A's, four S's, two I's, two N's and T, O occurs only once.

We have to consider the case when all the S's together and so taking it as one packet or unit. So now we have three A's, one unit of four S's, two I's, two N's, one T, one O and thus a total of 10 units.

Therefore the number of arrangements possible when all the S's is together

                           

Hence, the distinct permutations of the letters of the word ASSASSINATION when four S's  come together = 151200.

Answered by Expert 4th June 2014, 3:23 PM
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