document.write( "Question 1181142: How many different ways can the letters of ​\"knitting​\" be​ arranged?\r
\n" ); document.write( "\n" ); document.write( "The number of different ways that the letters of ​\"​knitting\" can be arranged is __.
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Algebra.Com's Answer #810988 by ikleyn(53756)\"\" \"About 
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document.write( "In  \"8%21%2F%282%21%2A2%21%2A2%21%29\"  = \"40320%2F8\" = 5040  different ways.    ANSWER\r\n" );
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document.write( "    8! in the numerator accounts for all 8 permutations of 8 letters.\r\n" );
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document.write( "    First  2!  in the denominator accounts for multiplicity 2 of letter \"n\".\r\n" );
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document.write( "    Second  2!  in the denominator accounts for multiplicity 2 of letter \"i\".\r\n" );
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document.write( "    Third  2!  in the denominator accounts for multiplicity 2 of letter \"t\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, answered and carefully explained.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different solved problems,  look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Arranging elements of sets containing indistinguishable elements \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic  \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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