How many different words can be formed with the letters o the word MISSISSIPPI? In how many of these permutations four I’s do not come together?

Explanation

In the given word MISSISSIPPI, I appears `4` times , S appears `4` times, P appears `2` times, and M appears just once.


Therefore, number of distinct permutations of the letters in the given word =`11!4×4×2=34650`


There are 4I's in the given word. When they occur together, they will be treated as a single object for the time being. This single object together with the remaining `7` objects will account for `8 ` objects.


In these `8` objects, there are `4` Ss and `2` Ps which can be arranged in =`8!4×2=840`


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