document.write( "Question 507366: 4. A division has 12 employees, 8 males and 4 females.
\n" ); document.write( "(a) How many ways can a committee of 6 members can be selected from out of these 12?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(b) Find the probability that the committee contains all males? \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(c) How many ways can they choose a President of the committee, if the President has to be a female and the other officers must be males?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #340439 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A division has 12 employees, 8 males and 4 females.
\n" ); document.write( "(a) How many ways can a committee of 6 members can be selected from out of these 12?
\n" ); document.write( "Ans: 12C6 = 924 ways
\n" ); document.write( "------------------------------- \r
\n" ); document.write( "\n" ); document.write( "(b) Find the probability that the committee contains all males?
\n" ); document.write( "Ans: P(6 males) = 8C6/12C6 = 28/924
\n" ); document.write( "------------------------------- \r
\n" ); document.write( "\n" ); document.write( "(c) How many ways can they choose a President of the committee, if the President has to be a female and the other officers must be males?
\n" ); document.write( "Ans: Ways to choose a female president: 8
\n" ); document.write( "Question: How many other officers are there?
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============= \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );