Question 1181142
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<pre>

In  {{{8!/(2!*2!*2!)}}}  = {{{40320/8}}} = 5040  different ways.    <U>ANSWER</U>



    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".
</pre>


Solved, answered and carefully explained.


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To see many other similar and different solved problems, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/Arranging-elements-of-sets-containing-undistinguishable-elements.lesson>Arranging elements of sets containing indistinguishable elements</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Combinatorics: Combinations and permutations</U>". 



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.