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(13200) (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:
ANSWER: 5040 distinguishable permutations.
Answer by ikleyn(52780) (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.
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