document.write( "Question 1071976: Determine the number of permutations of the letters of the word \"BASICSTATISTICS\" \n" ); document.write( "

Algebra.Com's Answer #686888 by Edwin McCravy(20063) $\"\"$ $\"About$

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document.write( "BASICSTATISTICS, a 15 letter word, with the letters written in \r\n" );
document.write( "alphabetical order is:\r\n" );
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document.write( "AABCCIIISSSSTTT\r\n" );
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document.write( "If we could tell the like letters apart, the answer would be 15!,\r\n" );
document.write( "but since we can't, we must divide by all the factorials of the \r\n" );
document.write( "numbers of times each letter appears in the word:\r\n" );
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document.write( "So we divide 15! by 2! for the 2 indistinguishable A's, 2! for\r\n" );
document.write( "the 2 indistinguishable C's, 3! for the indistinguishable I's,\r\n" );
document.write( "4! for the 4 indistinguishable S's, and 3! for the 3 \r\n" );
document.write( "indistinguishable T's.\r\n" );
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document.write( "Answer: \r\n" );
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document.write( "Edwin

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