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How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

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a
8⋅6C4⋅7C4
b
6⋅7⋅8C4
c
6⋅8⋅7C4
d
7⋅6C4⋅8C4

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detailed solution

Correct option is D

Other than S, seven letters M, I, I, I, P, P, I can be arranged in 7!2!4!=7⋅5⋅3.Now four S can be placed in 8 spaces in  8C4 ways.Desired number of ways =7⋅5⋅3⋅8C4=7⋅6C4⋅8C4.


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