document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209293>Question 209293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are five people in the room. Each person shakes the hand of every other person exactly once. How many handshakes are exchanged? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158245 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> all 5 people shake hands with 4 other people\r<BR>\n" );
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document.write( "BUT ... Jim shaking hands with Sue is the same as Sue shaking hands with Jim\r<BR>\n" );
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document.write( "so, the total number of handshakes is (5*4)/2 or 10\r<BR>\n" );
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document.write( "this is a combination of 5 things taken 2 at a time ... 5C2 </SPAN>\n" );
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