document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209389>Question 1209389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a local high school, from a group of 18 students comprised of 10 singers and 8 actors, a 5-person executive council is selected.  Find how many committees are possible that have at most 2 singers.  \r<BR>\n" );
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document.write( "I used (10C2)(8C3)=2520 to account for the case in which there is 2 singers and 3 actors \r<BR>\n" );
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document.write( "Than I used (8C4)(10C1)=700 to account for the case in which there is 1 singer and 4 actors \r<BR>\n" );
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document.write( "Then I used just 8C5=56 to account for the case in which there is 5 actors\r<BR>\n" );
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document.write( "Then I added them all together 2520+700+56=3276 which gives me 3276 total combinations<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 #848738 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=848738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "In your solution, everything is correct.\r<BR>\n" );
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document.write( "My congratulations - a perfect job !\r<BR>\n" );
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