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

Letter Number of occurrence

⇒ Number of permutations =

We take that come together, and they are treated as letter,

∴ Total number of letters

⇒ Number of permutations =

Therefore, total number of permutations where four I’s don’t come together