SOLUTION: find the number of distinguishable permutations of the letters in word missouri

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Question 1155407: find the number of distinguishable permutations of the letters in word missouri
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.


The word "missouri" has 8 letters, of them letter "i" has a multiplicity of 2 and the letter "s" also has a multiplicity of 2.


Therefore, the number of all distinguishable permutations under the question is


    n =  =  = 10080.


Two factors  2!  in the denominator serve to account for multiplicities of the two letters, "i" and "s".

Solved.

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To see many other similar solved problems, look into 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".


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Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Find the number of distinguishable permutations of the letters in the word
“Missouri"
Letter Frequency






Total
The value, calculated by hand is:

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