SOLUTION: how many distinguishable permutation are possible with all letters of the word ELLIPSES

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Question 1129070: how many distinguishable permutation are possible with all letters of the word ELLIPSES
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


A basic counting principle....

8 letters; can be arranged 8! ways.

The list of all 8! ways is too large by a factor of 2! because of the two E's, again by a factor of 2! because of the two L's, and again by a factor of 2! because of the two S's.

Number of distinguishable permutations:

8%21%2F%28%282%21%29%282%21%29%282%21%29%29+=+8%21%2F8+=+7%21+=+5040

ANSWER: 5040 distinguishable permutations.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
On distinguishable permutations see the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.