document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892097>Question 892097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of people is such that the number of ways selecting 8 people is same as the number of ways selecting 12 people.In how many ways can 18 people be selected from this group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540304 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i was able to solve this graphically.\r<BR>\n" );
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document.write( "the solution is n = 20\r<BR>\n" );
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document.write( "C(20,8) = 125970\r<BR>\n" );
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document.write( "C(20,12) = 125970\r<BR>\n" );
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document.write( "C(20,18) = 190\r<BR>\n" );
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document.write( "the graph is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/081109.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "i tried to solve it algebraically and ran into great difficulty so i settled for what i could do which was the graphical solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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