document.write( "Question 1153811: An organization consisting of 27 women and 11 men needs to select from its ranks
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Algebra.Com's Answer #776147 by Edwin McCravy(20056) $\"\"$ $\"About$

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An organization consisting of 27 women and 11 men needs to select from its ranks
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\n" ); document.write( "\n" ); document.write( "In how many possible ways can the committee be formed so that it contains
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document.write( "7 people with exactly 2 men also have exactly 5 women.\r\n" );
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document.write( "Choose the 2 men any of \"11 CHOOSE 2\" or 11C2 = 55 ways\r\n" );
document.write( "For each of those 55 ways to choose the 2 men, there are \r\n" );
document.write( "\"27 CHOOSE 5\" or 80730 ways to choose the 5 women. That\r\n" );
document.write( "amounts to (55)(80730) or 4440150 ways.\r\n" );
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document.write( "The number of ways to choose ANY 7 from the 27+11=38 people is\r\n" );
document.write( "\"38 CHOOSE 7\" or 38C7 = 12620256 ways.\r\n" );
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document.write( "So the probability of choosing 7 with exactly 2 men is\r\n" );
document.write( "4440150 ways out of 12620256 or\r\n" );
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document.write( "which reduces to\r\n" );
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document.write( "and which is approximately 35.2% of the time 2 men and 2 women\r\n" );
document.write( "will be chosen.\r\n" );
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document.write( "Edwin

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