document.write( "Question 1153838: An organization consisting of 26 women and 15 men needs to select from its ranks a committee of 4 people.\r
\n" ); document.write( "\n" ); document.write( "If the members of the committee are selected at random, what is the probability that the committee will consist of only women? \n" ); document.write( "

Algebra.Com's Answer #776155 by ikleyn(52903) $\"\"$ $\"About$

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document.write( "    P = \r\n" );
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document.write( "The formula says that the probability is the ratio of the number of quadruples(4 women) taken from 26 women\r\n" );
document.write( "to the number of all possible quadruples of 4 persons selected from 26+15 = 41 person.\r\n" );
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document.write( " = 14950\r\n" );
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document.write( " = 101270\r\n" );
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document.write( "P =  = 0.1476.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "NOTE: I used Excel-function COMBIN(n,k) to calculate $\"C%5Bn%5D%5Ek\"$ quickly and with no headache.\r
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