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  • The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no two I's are together and letters S and I are never togethe

The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no two I's are together and letters S and I are never together is

Option: 1

8640

 

 


Option: 2

4800


Option: 3

2400

 


Option: 4

5480


Answers (1)

best_answer

Arrange the remaining letters in 5 ! ways

IP|EIMIT|C

In the 6 gaps, arrange the 3 Ss and 3 Is in

\frac{6 !}{3 ! 3 !} \text { ways }=20

\text { The answer is } 5 ! \times 20=2400

Posted by

Divya Prakash Singh

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