document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118625>Question 118625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 12 teams in a curling competition. After the round-robin portion the 1st place teams plays the 4th place team and the 2nd place team plays the 3rd place team in the semi-finals.   Determine the number of different possible pairings for the semifinal games. Explain your answer.\r<BR>\n" );
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document.write( "Any help would be appreciated. Thanks.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86731 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=86731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 12 teams in a curling competition. After the round-robin portion the 1st place teams plays the 4th place team and the 2nd place team plays the 3rd place team in the semi-finals.   Determine the number of different possible pairings for the semifinal games. Explain your answer.\r<BR>\n" );
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document.write( "Choose two teams to be the 1st and 4th in 12C2 = 12*11/1*2 = 66 ways<BR>\n" );
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document.write( "Choose two teams to be the 2nd and 3rd in 10C2 = 10*9/1/2 = 45 ways<BR>\n" );
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document.write( "Total number of pairings for the semifinals = 66*45 = 2970<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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