document.write( "Question 205508: Conditional Probability/Bayes' Formula/Independent Events
\n" ); document.write( "Not sure which one the below is; can anyone help? thank you!!\r
\n" ); document.write( "\n" ); document.write( "A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
\n" ); document.write( "a) How many different delegations are possible?
\n" ); document.write( "b) How many different delegations consist of at least 1 Republican?
\n" ); document.write( "

Algebra.Com's Answer #155147 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
\n" ); document.write( "a) How many different delegations are possible?
\n" ); document.write( "Ans: 13C3 = (13*12*11)/(1*2*3) = 286
\n" ); document.write( "-------------------------------------------------------
\n" ); document.write( "b) How many different delegations consist of at least 1 Republican?
\n" ); document.write( "Ans: 286 - # of committees with no Repoblican
\n" ); document.write( "= 286 - 8C3 = 230
\n" ); document.write( "======================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );