document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666398>Question 666398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A political polling organization wishes to select a smaller focus group from a group of of 10 Republicans, 4 Democrats, and 1 Independents. In how many ways can the group be chosen under each of the following conditions. \r<BR>\n" );
document.write( "\n" );
document.write( "  a) It must consist of 4 Republicans and 2 Democrats?  \r<BR>\n" );
document.write( "\n" );
document.write( "  b) It must consist of 1 Republican, 4 Democrats, 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 #414434 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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/cgi-bin/show-face.mpl?user=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Choose 4 republicans and 2 democrats:  (10 choose 4) *(4 choose 2) = 1260 ways\r<BR>\n" );
document.write( "\n" );
document.write( "Choose 1 republican, 4 democrats, 1 independent: (10 choose 1) * (4 choose 4) * (1 choose 1) = 10 * 1* 1= 10 ways\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );