document.write( "Question 1052866: yes how to solve: how many different 10 letter words (real or imaginary) can be formed from: s,f,s,m,z,s,f,a,i,n \n" ); document.write( "

Algebra.Com's Answer #668154 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( " s,f,s,m,z,s,f,a,i,n\r\n" );
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document.write( "If the 3 s's and 2 f's looked different, maybe colored differently,\r\n" );
document.write( "like this:\r\n" );
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document.write( " s,f,s,m,z,s,f,a,i,n\r\n" );
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document.write( "then the number of distinguishable \"words\" would be 10!.\r\n" );
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document.write( "However there are many arrangements that we cannot tell apart \r\n" );
document.write( "because the 3 s's and 2 f's look just alike.\r\n" );
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document.write( "So we must divide the 10! by the product of the factorials\r\n" );
document.write( "of the numbers of indistinguishable letters.\r\n" );
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document.write( "Since there are 3 indistinguishable s's and 2 indistinguishable f's,\r\n" );
document.write( "we divide the 10! by 3!2!:\r\n" );
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document.write( "Answer: \r\n" );
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document.write( "Edwin

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