document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983010>Question 983010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 8 people meet each other at a meeting by shaking hands with one another how many handshakes take place?\r<BR>\n" );
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document.write( "the answer I think is (8*7)/2 = 28 handshakes, but I don't understand it. Why is it 8*7 I know there are 8 people but why the 7? it's confusing me. Wouldn't it be a lot more. Maybe I just don't understand multiplication or something. Please explain what I don't understand about this.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603835 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 8 people meet each other at a meeting by shaking hands with one another how many handshakes take place?\r<BR>\n" );
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document.write( "the answer I think is (8*7)/2 = 28 handshakes, but I don't understand it. Why is it 8*7 I know there are 8 people but why the 7? it's confusing me. Wouldn't it be a lot more. Maybe I just don't understand multiplication or something. Please explain what I don't understand about this.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">One way to look at this is that a person doesn't shake hands with him/herself. Each handshake requires 2 people so how many groups<BR>\n" );
document.write( "of 2 people can be formed from a group of 8 people, taking 2 at a time? We use combination, with n = 8, and r = 2, for the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22+%22+%5Bn%5DC%5Br%5D ALIGN=MIDDLE  ALT=\"%22+%22+%5Bn%5DC%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22+%22%5B8%5DC%5B2%5D ALIGN=MIDDLE  ALT=\"%22+%22%5B8%5DC%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%21%2F%286%21%2A2%21%29 ALIGN=MIDDLE  ALT=\"8%21%2F%286%21%2A2%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288+%2A+7+%2A+6%21%29%2F%286%21%2A2%21%29 ALIGN=MIDDLE  ALT=\"%288+%2A+7+%2A+6%21%29%2F%286%21%2A2%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288+%2A+7+%2A+cross%286%21%29%29%2F%28cross%286%21%29%2A2%21%29 ALIGN=MIDDLE  ALT=\"%288+%2A+7+%2A+cross%286%21%29%29%2F%28cross%286%21%29%2A2%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2F2 ALIGN=MIDDLE  ALT=\"56%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2828%29 ALIGN=MIDDLE  ALT=\"highlight_green%2828%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "It's as simple as that!! </SPAN>\n" );
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