document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076110>Question 1076110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a local high school, from a group of 16 students comprised of 7 singers and 9 actors, a 6-person executive council is selected.<BR>\n" );
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document.write( "How many different executive councils are possible if the council must include at least<BR>\n" );
document.write( "4 actors?\r<BR>\n" );
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document.write( "I tried 7C4 + 12C2 \r<BR>\n" );
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document.write( "Answer was 3612<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690849 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 actors it is 9C4<BR>\n" );
document.write( "Therefore, there are two singers and that is 7C2<BR>\n" );
document.write( "126*21=2646<BR>\n" );
document.write( "But it said at least 4 actors<BR>\n" );
document.write( "Use 5.  That is 9C5=126*7 ways to choose the singer=882<BR>\n" );
document.write( "Use 6 actors, which is 9C6=84<BR>\n" );
document.write( "2646+882+84=3612 </SPAN>\n" );
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