document.write( "Question 1202956: A committee consisting of 3 men and 4 women is to be choose at random from 5 women and 6 men. What is the probability that one particular women and man will be on it. \n" ); document.write( "

Algebra.Com's Answer #838192 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A committee consisting of 3 men and 4 women is to be choose at random
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\n" ); document.write( "What is the probability that one particular $\"highlight%28cross%28women%29%29\"$ woman and man will be on it.
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\n" ); document.write( "\n" ); document.write( " My solution and my answer are different from that by @greenestamps.\r
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document.write( "The number of all favorable possible committees consisting of 3 men and 4 women,\r\n" );
document.write( "satisfying the imposed restrictions is\r\n" );
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document.write( "    favorable =  = 10*4 = 40  (the same number as provided in the solution by @greenestamps).\r\n" );
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document.write( "The number of all possible committees consisting of 3 men and 4 women\r\n" );
document.write( "without restrictions on one particular woman and man is\r\n" );
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document.write( "    total     =  = 20*5 = 100  (this number is different from\r\n" );
document.write( "                                        the value in solution by @greenestamps).\r\n" );
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document.write( "The answer is the ratio\r\n" );
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document.write( "    P =  =  =  =  = 0.4 = 40%.\r\n" );
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