document.write( "Question 892927: a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies. find the probability that(1) the committee does not include any lady (2)the committee includes both the ladies \n" ); document.write( "

Algebra.Com's Answer #541044 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies.
\n" ); document.write( "find the probability that(1) the committee does not include any lady
\n" ); document.write( "

\r\n" );
document.write( "That's the probability of selecting 3 men from the 5.\r\n" );
document.write( "\r\n" );
document.write( "The number of ways to select 3 men is\r\n" );
document.write( "\r\n" );
document.write( "5 men Choose 3 or 5C3 or C(5,3) = 10 ways\r\n" );
document.write( "\r\n" );
document.write( "The number of ways to select ANY 3 from the 7 humans is \r\n" );
document.write( "\r\n" );
document.write( "7 humans Choose 3 or 7C3 or C(7,3) = 35 ways\r\n" );
document.write( "\r\n" );
document.write( "That's 10 ways out 35 ways or  which reduces to .\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "

\n" ); document.write( " (2)the committee includes both the ladies.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "We only need to choose 1 of the 5 men to go with the two ladies.\r\n" );
document.write( "\r\n" );
document.write( "That's 5 ways out of 35 ways or  which reduces to .\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );