document.write( "Question 1155407: find the number of distinguishable permutations of the letters in word missouri \n" ); document.write( "
Algebra.Com's Answer #777986 by ikleyn(52781)\"\" \"About 
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document.write( "The word \"missouri\" has 8 letters, of them letter \"i\" has a multiplicity of 2 and the letter \"s\" also has a multiplicity of 2.\r\n" );
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document.write( "Therefore, the number of all distinguishable permutations under the question is\r\n" );
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document.write( "    n = \"8%21%2F%282%21%2A2%21%29\" = \"%288%2A7%2A6%2A5%2A4%2A3%2A2%2A1%29%2F%282%2A2%29\" = 10080.\r\n" );
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document.write( "Two factors  2!  in the denominator serve to account for multiplicities of the two letters, \"i\" and \"s\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar 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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