document.write( "Question 926855: There are 12 different colored PAIRS (24 socks total, 12 different colors) of socks in a drawer. If a person takes 10 socks from that drawer, what is the probability that none of these socks are pairs? \n" ); document.write( "

Algebra.Com's Answer #563127 by Edwin McCravy(20055) $\"\"$ $\"About$

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There are 12 different colored PAIRS (24 socks total, 12 different colors) of socks in a drawer. If a person takes 10 socks from that drawer, what is the probability that none of these socks are pairs?\r
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document.write( "That means we have to take out 10 socks of 10 different colors.\r\n" );
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document.write( "We can choose 10 different colors in C(12,10) = 66 ways.\r\n" );
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document.write( "We can choose the sock of each of the 10 colors in 2 ways each.\r\n" );
document.write( "So that's  ways to choose the socks that go with the ten colors.\r\n" );
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document.write( "So the numerator of the probability is 66*1024 = 67584 ways. \r\n" );
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document.write( "The denominator is C(24,10) = 1961256.\r\n" );
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document.write( "So the probability is  \r\n" );
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document.write( "or as a decimal \r\n" );
document.write( "0.03445955041055323731323192892717727823394804145914658769686364248216449051016287521873738053573832278906986135415264503...\r\n" );
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document.write( "Edwin

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