document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709066>Question 709066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a national checker tournament 50 players were entered. Each played all of the other players once. How many games were played in all? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436359 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=436359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a national checker tournament 50 players were entered. Each played all of the other players once. How many games were played in all?<BR>\n" );
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document.write( "2 players::::: 1 game (think of a line)<BR>\n" );
document.write( "3 players::::: 2 + 1 = 3 games  (think of a triangle)<BR>\n" );
document.write( "4 players::::: 3 + 2 + 1 = 6 games (think of a rectangle)<BR>\n" );
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document.write( "50 players:::: 49 + 48 + ... + 1 = (49/2)(1+49) = 1225 games<BR>\n" );
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document.write( "Another way to think of it.<BR>\n" );
document.write( "There are 50C2 pairs::: 50C2 = 1225 games<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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