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

Algebra.Com
Question 1184221: How many words can be written using all the letters of the word "IRRATIONAL"?
Answer by ikleyn(52787)   (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 =  =  = 453600.    ANSWER

Solved.

---------------

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.



RELATED QUESTIONS

How many distinguishable ways can be written using all the letters in the word ALGEBRA? (answered by Theo)
Using the letters of word {{{GANAPATI}}} how many words can be formed such that all... (answered by greenestamps)
How many four letter words can be made using the letters of the word... (answered by khwang)
How many four letter words can be formed by using the letters of the word LINGAA... (answered by t0hierry)
how many differnt words can be formed using three letters of the word "TABLE"? (answered by Alan3354,richwmiller)
How many different 3 letter "words" can be made using letters of the word... (answered by Edwin McCravy)
How many words, with or without meaning can be formed using all the letters of the word... (answered by ewatrrr)
how many words with or without meanings can be formed using all the letters of the word... (answered by stanbon)
How many words can be made using the letters of the word STARTS? How many of theses are... (answered by sudhanshu_kmr)