document.write( "Question 1204716: Find the number of distinguishable permutations of the given letters \"AAABBBCD\".
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Algebra.Com's Answer #841154 by ikleyn(52932) $\"\"$ $\"About$

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document.write( "The formula for the number of distinguishable permutations of this word is\r\n" );
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document.write( "    n = .    (1)\r\n" );
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document.write( "In this formula, 8! reflects the number of all permutations of 8 letters in the word.\r\n" );
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document.write( "First  3!  in the denominator reflects three repeating letters A in it.\r\n" );
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document.write( "Second 3!  in the denominator reflects three repeating letters B in the word.\r\n" );
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document.write( "The  ANSWER  is, according to formula (1),  n = 1120.\r\n" );
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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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