SOLUTION: How many distinct permutations can be formed using the letters of the word ​"CHARACTER​"?

In all, there are 9 letters in the word.


Of them, letter "C" has multiplicity 2;

         letter "A" has multiplicity 2;

         letter "R" has multiplicity 2.
 

The rest of the letters are UNIQUE.


The number of distinguishable arrangements of letters is   =  = 45360.    ANSWER


Three times repeated factor 2! in the denominator is to account for three repeated letters "C", "A" and "R" with their multiplicities.