document.write( "Question 1095620: How many distinguishable permutations can be made of the letters in the word STEGOSAURUS? \n" ); document.write( "

Algebra.Com's Answer #710134 by ikleyn(52793) $\"\"$ $\"About$

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\n" ); document.write( "How many distinguishable permutations can be made of the letters in the word STEGOSAURUS?
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document.write( "The given word contains  11  letters.\r\n" );
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document.write( "Of them, the letter S  is repeated 3 times,   and\r\n" );
document.write( "         the letter U  is repeated 2 times.\r\n" );
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document.write( "The rest of the letters are unique.\r\n" );
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document.write( "So, the number of  distinguishable permutations  is   = 3326400.\r\n" );
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\n" ); document.write( "\n" ); document.write( "We divide the total number of permutations of 11! by 3!, because all permutations that permute the letter S only, lead to indistinguishable arrangements.\r
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\n" ); document.write( "\n" ); document.write( "We divide the total number of permutations of 11! by 2!, because all permutations that permute the letter U only, lead to indistinguishable arrangements, too.\r
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\n" ); document.write( "On Permutations, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Permutations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Permutations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Permutations\r
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