SOLUTION: How many distinct permutations are there of the letters in the worst "STATISTICS"

There are 10 symbols in the word "STATISTICS";


of them,  "S" has multiplicity 3;

          "T" has multiplicity 3;

          "I" has multiplicity 2;

          "A" and "C" have multiplicity 1.


The number of all permutations of 10 items is  10! = 10*9*8*7*6*5*4*3*2*1.


The number of all distinguishable arrangements of letters is  10! / (3! * 3! * 2! * 2!).


The factorials in the denominator serve to account for repeating letters.