document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119412>Question 1119412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A single elimination tournament also known as a knockout tournament is one where a loser of a match is automatically eliminated from the tournament. The winner of each round continue to play each other until a single winner is declared. Determine the total number of matches that are necessary for a chess tournament involving 1024 participants  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734956 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> start with 4 teams, 2^3.<BR>\n" );
document.write( "A plays B<BR>\n" );
document.write( "C plays D<BR>\n" );
document.write( "E plays F<BR>\n" );
document.write( "G plays H<BR>\n" );
document.write( "The second round features 4 teams, 2 matches<BR>\n" );
document.write( "The third round features 2 teams and 1 match for the championship.  <BR>\n" );
document.write( "That is 7  matches or 2^3-1<BR>\n" );
document.write( "1024 is 2^10<BR>\n" );
document.write( "The number of matches is 2^10-1 or 1023. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );