document.write( "Question 1190744: . A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
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Algebra.Com's Answer #822458 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
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document.write( "5 + 7 = 12 people.\r\n" );
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document.write( "In all,  \"C%5B12%5D%5E4\" = \"%2812%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%29\" = 495 combinations are possible of 12 people taken 4 at a time.\r\n" );
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document.write( "It is the full size of the space of events in this problem.\r\n" );
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document.write( "Of them,  \"C%5B5%5D%5E2%2AC%5B7%5D%5E2\" = 10*21 = 210 quadruples consists of two men and two women: they are favorable quadruples in this problem.\r\n" );
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document.write( "THEREFORE, the probability under the problem's question is\r\n" );
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document.write( "    P = \"favorable%2Ftotal\" = \"210%2F495\" = \"14%2F33\" = 0.4242... = 0.4242 = 42.42%   (rounded).    ANSWER\r\n" );
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