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
answer is D.
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Detailed Solution
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.