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Question -

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



Answer -

Total number ofletters in MISSISSIPPI =11

Letter Number ofoccurrence

M

1

I

4

S

4

P

2

 Number ofpermutations =

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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