document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684501>Question 684501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A panel of 5 politicians is to be chosen from a group of 15 politicians<BR>\n" );
document.write( "a) In how many ways can the panel be chosen? \r<BR>\n" );
document.write( "\n" );
document.write( "Now suppose that the group of politicians consists of 8 Democrats, 4 Republicans, and 3 Independents. In how many ways can the panel of 5 politicians be chosen if the panel must consist of 2 Democrats, 2 Republicans, and 1 Independent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424160 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A panel of 5 politicians is to be chosen from a group of 15 politicians<BR>\n" );
document.write( "a) In how many ways can the panel be chosen?<BR>\n" );
document.write( "Ans: 15C5 = (15*14*13*12*11)/(1*2*3*4*5) = 3003<BR>\n" );
document.write( "------- <BR>\n" );
document.write( "Now suppose that the group of politicians consists of 8 Democrats, 4 Republicans, and 3 Independents. <BR>\n" );
document.write( "In how many ways can the panel of 5 politicians be chosen if the panel must consist of 2 Democrats, 2 Republicans, and 1 Independent?<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Ans: 8C2*4C2*3C1 = 28*6*3 = 504 ways<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );