document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147127>Question 1147127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A six-team hockey league has a schedule requiring each team to play each of the other teams 9 times. How many games will be played in total? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768425 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Count the total number of games that each team plays; then, since that counts each game twice, divide by 2:<br><BR>\n" );
document.write( "(number of teams) times (number of opposing teams) times (number of times per season)<BR>\n" );
document.write( "6*5*9 = 270<BR>\n" );
document.write( "then divide by 2<BR>\n" );
document.write( "270/2 = 135<br><BR>\n" );
document.write( "OR, to be a bit more sophisticated mathematically....<br><BR>\n" );
document.write( "(2) Determine the number of pairings and multiply by the number of times per season that each pairing occurs:<br><BR>\n" );
document.write( "(6 choose 2) times (number of times per season)<BR>\n" );
document.write( "6C2 * 9 = 15*9 = 135<br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );