SOLUTION: how many distinguishable permutations of letters are possible in the word ENGINEERING?

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Question 1148680: how many distinguishable permutations of letters are possible in the word ENGINEERING?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

In all, there are 11 letters in the word.


Of them, letter "E" has multiplicity 3;

         letter "N" has multiplicity 3;

         letter "G" has multiplicity 2;
 
         letter "I" has multiplicity 2;

         the last letter "R" has multiplicity 1.


The number of distinguishable permutations of letters is  11%21%2F%283%21%2A3%21%2A2%21%2A2%21%29 = %2811%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%29%2F%286%2A6%2A2%2A2%29 = 277200.    ANSWER

Solved.

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    - Arranging elements of sets containing indistinguishable elements
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