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

Total number of letters in MISSISSIPPI =11

Letter Number of occurrence

Number of permutations =

We take that 4 I’s come together, and they are treated as 1 letter,

Total number of letters=11-4+1=8

Number of permutations =

Therefore, total number of permutations where four I’s don’t come together = 34650-840=33810

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