SOLUTION: What is the total number of different 10-letter arrangements that can be formed using the letters in the word ABSTEMIOUS?

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Question 1158097: What is the total number of different 10-letter arrangements that can be formed using the letters in the word ABSTEMIOUS?
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

There are 10 letter in the word.


They all are UNIQUE, except one letter " S ", which has multiplicity of 2.


Therefore, the number of all distinguishable arrangements of the letters is   =  = 1814400.    ANSWER


2! in the formula serves to account for repeation letter " E ".

Solved.

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To see other similar solved problems,  look into the lesson
    - Arranging elements of sets containing indistinguishable elements
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Also,  you have this free of charge online textbook in ALGEBRA-II in this site
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The referred lesson is the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


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