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Permutation under Restriction

How many diff...

Question

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

A

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B

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C

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D

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Solution

The correct option is B

There are I-4, S-4, P-2, M-1
Required number of words $=^{8} C_{4} \times \frac{7!}{2! \times 4!} =^{8} C_{4} \times 7 \times^{6} C_{4}$

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