document.write( "Question 1118960: In a club with 5 men and 7 women, what is the probability that a 3
\n" ); document.write( "person committee is chosen
\n" ); document.write( "that is all women?
\n" ); document.write( "

Algebra.Com's Answer #734383 by ikleyn(52809)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Of 5 men and 7 women,  in total of 5+7 = 12 persons, you can form  \"C%5B12%5D%5E3\" = \"%2812%2A11%2A10%29%2F%281%2A2%2A3%29\" = 220 different triplets (triples).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of triplets consisting of women only, is  \"C%5B7%5D%5E3\" = \"%287%2A6%2A5%29%2F%281%2A2%2A3%29\" = 35.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the probability under the question is  \"35%2F220\" =  0.1591 = 15.91%.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );