document.write( "Question 1155081: List three permutations of the letters in the word STATISTICS, and how many different permutations of the letters in STATISTICS are there? \n" ); document.write( "

Algebra.Com's Answer #777696 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "STATISTICS\r\n" );
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document.write( "ACIISSSTTT\r\n" );
document.write( "TTTSSSIICA\r\n" );
document.write( "ATCTITISSS\r\n" );
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document.write( "There are 10 letters, some distinguishable some indistinguishable.\r\n" );
document.write( "There are 2 indistinguishable I's.\r\n" );
document.write( "There are 3 indistinguishable S's.\r\n" );
document.write( "There are 3 indistinguishable T's.\r\n" );
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document.write( "The formula for the number of distinguishable permutations is a fraction.\r\n" );
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document.write( "The numerator of the fraction is the factorial of the number of letters,\r\n" );
document.write( "whether distinguishable or indistinguishable.\r\n" );
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document.write( "The denominator of the fraction is the product of the factorials of each\r\n" );
document.write( "of the numbers of indistinguishable letters.\r\n" );
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document.write( "So the answer is this fraction \r\n" );
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document.write( "which we simplify:\r\n" );
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document.write( "Edwin

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