document.write( "Question 256104: a club consist of ten members. in how many different ways can a group of three people be selected to go on a trip? \n" ); document.write( "
Algebra.Com's Answer #188266 by Edwin McCravy(20056)\"\" \"About 
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a club consist of ten members. in how many different ways can a group of three people be selected to go on a trip?
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document.write( "Sometimes that's written\r\n" );
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document.write( "\"10C3\", sometimes \"C%2810%2C3%29\" and sometimes \"%28matrix%282%2C1%2C10%2C3%29%29\"\r\n" );
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document.write( "Sometimes it's called \"Ten choose three\" and sometimes \r\n" );
document.write( "it's called \"The number of combinations of ten things \r\n" );
document.write( "taken three at a time\".\r\n" );
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document.write( "But it always means to make a fraction which has 3 factors in the\r\n" );
document.write( "numerator and three factors in the denominator  \r\n" );
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document.write( "The three factors in the numerator start with 10 and we subtract \r\n" );
document.write( "1 each time until we have three factors.  That is, 10*9*8.\r\n" );
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document.write( "The three factors in the denominator start with 3 and we subtract \r\n" );
document.write( "1 each time until we have three factors.  That is, 3*2*1\r\n" );
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document.write( "So the answer is \r\n" );
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document.write( "\"%2810%2A9%2A8%29%2F%283%2A2%2A1%29\"\r\n" );
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document.write( "This fraction will always reduce to a whole number.\r\n" );
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document.write( "Divide the 3 into the 9 and the 2 into the 8 and you end up with\r\n" );
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document.write( "\"10%2A3%2A4\" or 120 ways to choose a group of 3 out of a group of 10.\r\n" );
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document.write( "Edwin
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