Question 1193777: Distinguishable Ways to Arrange the Word ILLINOIS
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
ILLINOIS is an 8-letter word. If you could tell the 2 L's apart and the 3 I's
apart, the answer would be 8!, but since you can't tell the 2 L's apart, you need to
divide by the number of ways to arrange them, which is 2!. Also since you can't
tell the 3 I's apart, you need to divide by the number of ways to arrange them,
which is 3!.
Edwin
Answer by ikleyn(52776)  (Show Source):
You can put this solution on YOUR website! .
To see many other similar (and different) solved problems, look into the lesson
- Arranging elements of sets containing indistinguishable elements
in this site. From this lesson, learn the subject once and for all.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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