document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161690>Question 1161690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a baseball tournament consisting of twelve teams, in which each team plays every other team once, how many games will there be?\r<BR>\n" );
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document.write( "Multiple choice answers:\r<BR>\n" );
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document.write( "a. 15 <BR>\n" );
document.write( "b. 720<BR>\n" );
document.write( "c. 24<BR>\n" );
document.write( "d. 66 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785294 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Team 1 plays against 2, 3, 4,...,11, 12, a total of 11 teams\r<BR>\n" );
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document.write( "Team 2 plays against 1, 3, 4,...,11, 12, also 11 teams, but we already counted 2 vs. 1 when we counted Team 1's opponents.  Hence, 10 teams.\r<BR>\n" );
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document.write( "Similarly, Team 3 plays against 11 teams, but 2 of those have already been counted, so 9 teams.\r<BR>\n" );
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document.write( "And so on.  In summary:\r<BR>\n" );
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document.write( "Team  1      11\r\n" );
document.write( "Team  2      10\r\n" );
document.write( "Team  3       9\r\n" );
document.write( "Team  4       8\r\n" );
document.write( "Team  5       7\r\n" );
document.write( "Team  6       6\r\n" );
document.write( "Team  7       5\r\n" );
document.write( "Team  8       4\r\n" );
document.write( "Team  9       3\r\n" );
document.write( "Team 10       2\r\n" );
document.write( "Team 11       1\r\n" );
document.write( "Team 12       0\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "So\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sum_{i=1}^{11}\,i\ =\ \frac{(1\,+\,11)(11)}{2}\">\r<BR>\n" );
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document.write( "You can do your own arithmetic.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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