document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470814>Question 470814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 16 people are in a room and they shake hand with everyone else in the room Once, how many hands will be shaken? (bob shaking hands with fred is the same as fred shaking hands bob)<BR>\n" );
document.write( "I know you should use a basic counting theory. my first thought is 16x16.  <BR>\n" );
document.write( "I could figure it out if I knew what formula I should use. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322962 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "It is problem of combination.\r<BR>\n" );
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document.write( " Number of ways to select 2 out of n.\r<BR>\n" );
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document.write( "nC2  = n!/[2!*(n-2)!]\r<BR>\n" );
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document.write( "solution = 16C2 = 120\r<BR>\n" );
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document.write( "if any doubt, you are welcome to contact me..sudhanshu.cochin@gmail.com </SPAN>\n" );
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