document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324197>Question 324197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 12 people in a room. Each person will shake hands with everyone else in the room just once. How many total handshakes will there be?\r<BR>\n" );
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document.write( "Thanks in advance for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232038 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the first person, there will be 11 handshakes.<BR>\n" );
document.write( "For the second person, there will be 10 handshakes because that person has<BR>\n" );
document.write( "shaken the hand of the first person.<BR>\n" );
document.write( "So for the third there will be 9 handshakes and so on and so on.\r<BR>\n" );
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document.write( "So there will be 11+10+9+8+7+6+5+4+3+2+1   handshakes.\r<BR>\n" );
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document.write( "This is equal to (12*11)/2= 66\r<BR>\n" );
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document.write( "If there are n people in the room, then there are n(n-1)/2 handshakes. <BR>\n" );
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