SOLUTION: How many words can be written using all the letters of the word "IRRATIONAL"?

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Question 1184221: How many words can be written using all the letters of the word "IRRATIONAL"?
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

Count the number of letters, in total :  10.


Count the multiplicities or repeating letters :  2  for  " I ";

                                                 2  for  " R ";

                                                 2  for  " A ".


Write the formula and calculate


    The number of all possible distinguishable arrangements = 10%21%2F%282%21%2A2%21%2A2%21%29+ = %281%2A2%2A3%2A4%2A5%2A6%2A7%2A8%2A9%2A10%29%2F%282%2A2%2A2%29 = 453600.    ANSWER

Solved.

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To see 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".


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.