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

Question 1176491: How many distinguishable permutations are possible with all the letters of the word ELLIPSES?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
ELLIPSES has letters, , , and , , and

The formula for indistinguishable permutation is
n!/(n[1]!n[2]!.....n[k]!)
where is the total number of objects and are the number of indistinguishable objects.
We have , , and ( , and will not make any difference); the formula then becomes:

=
=
=
=
There are distinguishable permutations of the word .

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