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In how many of the distinct permutations of the letters in MIS

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In how many of the distinct permutations of the letters in MISSISSIPPI do the four Is not come together?

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In how many of the distinct permutations of the letters in MISSISSIPPI do the four Is not come together?

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Text solutionVerified

Solution: as we know that

M = 1

I = 4

S = 4

P = 2

total

= 11 \frac{!}{4 ! \cdot 4 ! \cdot 2 !} = \frac{11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5}{4 \cdot 3 \cdot 2 \cdot 2} = 34650

when Is are together

= 8 \frac{!}{4 ! \cdot 2 !}

= \frac{8 \cdot 7 \cdot 6 \cdot 5}{2} = 28 \cdot 30 = 840

required

= 34650 - 840

= 33810

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Question Text	In how many of the distinct permutations of the letters in MISSISSIPPI do the four Is not come together?
Answer Type	Text solution:1
Upvotes	150