document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972909>Question 972909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If seven matrons assembled for a meeting shake hands with one another,how many handshakes take place </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595236 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since each one of the 7 shook 6 hands,<BR>\n" );
document.write( "there were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A7 ALIGN=MIDDLE  ALT=\"6%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ordered pairs of matrons shaking hands,<BR>\n" );
document.write( "but those ordered pairs include each handshake counted 2 times:<BR>\n" );
document.write( "as person A shaking the hand of person B, and<BR>\n" );
document.write( "as person B shaking the hand of person A.<BR>\n" );
document.write( "So the number of handshakes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A7%2F2=21 ALIGN=MIDDLE  ALT=\"6%2A7%2F2=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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