SOLUTION: Distinguishable Ways to Arrange the Word ILLINOIS

Algebra.Com
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(52778)   (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.



RELATED QUESTIONS

Find the number of ways to arrange the letters in the word... (answered by vheroli,thomasianstudent001)
The number of ways to arrange the letters of the word... (answered by Edwin McCravy)
How many ways are there to arrange the letters in the word permutation? (answered by sudhanshu_kmr)
How many unique ways are there to arrange the letters in the word... (answered by TimothyLamb)
how many ways can you arrange the word equal (answered by Alan3354)
How many distinguishable ways can be written using all the letters in the word ALGEBRA? (answered by Theo)
How many distinguishable ways can the letters of the word STATISTICS be written ? (answered by Fombitz)
In how many distinguishable ways can the letters in the word STATISTICS be arranged?... (answered by ikleyn)
In how many distinguishable ways can letters of the word TENNESSEE be... (answered by sudhanshu_kmr)