Question
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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8 . 6C4 . 7C4
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6 . 7 . 8C4
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6 . 8 . 7C4
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7 . 6C4 . 8C4
Solution
D.
7 . 6C4 . 8C4
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 8 C4 ways. Desired number of ways = 7 . 5 . 3 . 8C4 = 7 . 6C4 . 8C4.
