SOLUTION: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

There are 11 symbols/letters in all.


Of them, "I" has the multiplicity 4;

         "S" has the multiplicity 4;

         "P" has multiplicity 2.


Therefore, the number of all possible distinguishable arrangements of the letters is    =  = 34650.


The factorials in the denominator account for permutations of repeating letters.