document.write( "Question 1176493: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI? \n" ); document.write( "
Algebra.Com's Answer #803547 by ikleyn(52817)\"\" \"About 
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document.write( "There are 11 symbols/letters in all.\r\n" );
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document.write( "Of them, \"I\" has the multiplicity 4;\r\n" );
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document.write( "         \"S\" has the multiplicity 4;\r\n" );
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document.write( "         \"P\" has multiplicity 2.\r\n" );
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document.write( "Therefore, the number of all possible distinguishable arrangements of the letters is   \"11%21%2F%284%21%2A4%21%2A2%21%29\" = \"%2811%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%29%2F%2824%2A24%2A2%29\" = 34650.\r\n" );
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document.write( "The factorials in the denominator account for permutations of repeating letters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you need more explanations or if you want to see many other similar solved problems, look into this 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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