document.write( "Question 958041: A fan of country music plans to make a custom CD with 14 of her 25 favorite songs. How many different combinations of 14 songs are possible? \n" ); document.write( "

Algebra.Com's Answer #585532 by Edwin McCravy(20060) $\"\"$ $\"About$

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A fan of country music plans to make a custom CD with 14 of her 25 favorite
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document.write( "25 songs, Choose 14 =\r\n" );
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document.write( "25C14 =\r\n" );
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document.write( "Since 14 is more than half of 25, we can subtract 14 from 25 and get 11.\r\n" );
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document.write( "That is, \r\n" );
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document.write( "25C14 \r\n" );
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document.write( "can be simplified to \r\n" );
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document.write( "25C11\r\n" );
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document.write( "[That's because every time we choose 14 songs from the 25 to use, we choose 11\r\n" );
document.write( "songs to leave out.]\r\n" );
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document.write( "25 Choose 11 = 25C11 = \r\n" );
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document.write( "The factors on the bottom will all cancel into the factors on the top,\r\n" );
document.write( "and after multiplying the remaining factors we end up with 4457400.\r\n" );
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document.write( "Edewin

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