document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22009>Question 22009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am a seventh grade student who has to do a problem of the week each week.  this is the one for this week.  \r<BR>\n" );
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document.write( "Seventy-Eight players entered a single elimination tennis tournament.  How many matches were played to determine the over all champ.  \r<BR>\n" );
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document.write( "I have tried to figure this out.  I started by dividing 78 by 2 and came up with 39 original matches.  My problem is that if I divide that in 1/2 again to come up with the next set of matches,  (19 matches) then I have one person left over who does he play? I thought about having him play a person from a future round but that person will have won more games so it wouldn't be fair.  Please help.  I just don't understand what to do.\r<BR>\n" );
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document.write( "Thank You<BR>\n" );
document.write( "K.I. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10652 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> YOU ARE PROCEEDING ON RIGHT LINES GO AHEAD...<BR>\n" );
document.write( "OFCOURSE THERE IS A FUNDAMENTAL ASSUMPTION MADE TO START WITH THAT IS ELIMINATION IS BY KNOCK-OUT...NOT ON LEAGUE BASIS IN WHICH CASE EACH PLAYER WILL PLAY WITH ALL OTHERS TO MAKE A LONG SERIES OF <BR>\n" );
document.write( "3003 MATCHES WHICH YOU WILL KNOW IN HIGHER CLASS..<BR>\n" );
document.write( ".NOW FOR THE PRESENT TAKE KNOCK-OUT BASIS AS YOU HAVE TAKEN GIVING A BYE TO ODD PLAYER AND INDUCTING HIM INTO THE NEXT ROUND.IT WILL RESULT IN SOME UNEVEN MATCHES PLAYED BY DIFFERENT PLAYERS BUT THAT GOES BY LUCK OF THE DRAW...<BR>\n" );
document.write( "SO WE HAVE<BR>\n" );
document.write( "I ROUND =78/2=39 MATCHES<BR>\n" );
document.write( "II ROUND =38/2=19 MATCHES WITH 1 PLAYER GIVEN BYE BY LOTS<BR>\n" );
document.write( "III ROUND =(19+1 BYE)/2=10....LIKE THAT YOU CAN PROCEED...BUT YOU ARE RIGHT IN INFERING IT ENTAILS UNEVENPLAY OFFS...SO ATLEAST AFTER SOME STAGE A LEAGUE BASIS WOULD BE GOOD SAY FOR THE LAST 5 WHEN WE NEED 10 MATCHES FOR 5 PEOPLE PLAYING LEAGUE </SPAN>\n" );
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