SOLUTION: How many different ways can the letters of ​"knitting​" be​ arranged? The number of different ways that the letters of ​"​knitting" can be arranged is __. ​(Simplif

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Question 1181142: How many different ways can the letters of ​"knitting​" be​ arranged?
The number of different ways that the letters of ​"​knitting" can be arranged is __.
​(Simplify your​ answer.)
Answer by ikleyn(53756)   (Show Source): You can put this solution on YOUR website!
.

In    =  = 5040  different ways.    ANSWER



    8! in the numerator accounts for all 8 permutations of 8 letters.


    First  2!  in the denominator accounts for multiplicity 2 of letter "n".


    Second  2!  in the denominator accounts for multiplicity 2 of letter "i".


    Third  2!  in the denominator accounts for multiplicity 2 of letter "t".


Solved, answered and carefully explained.

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

To see many other similar and different 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.




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