SOLUTION: How many different arrangements are there of the letters in MISSISSIPPI?

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Question 1116370: How many different arrangements are there of the letters in MISSISSIPPI?
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
M I S S I S S I P P I

11 letters.

4 "I"s

4 "S"s

2 "P"s


The answer is  ,


  where  4!  in the denominator stands for 4 repeating "I"'s;

another  4!  in the denominator stands for 4 repeating "S"'s;

and      2!  in the denominator stands for 2 repeating "P"'s.

Solved.

================
See the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.

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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