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#1 Re: Help Me ! » 8 Races Between 16 Cars Question » 2009-03-04 09:24:23

Thanks again for your help. I think Im going to change a few and call it good.

Derek

#2 Re: Help Me ! » 8 Races Between 16 Cars Question » 2009-03-04 04:48:05

That worked great!

  Now can you go one better and arrange them so that no one (or hardly anyone) are in back to back races?

  This is the best I can come up with. The ones with the asterisk are in back to back races.
 
  On the remaining 2 races I just went with odd and even.


  Race - 1     2      3     4     5      6     7     8 
           _____________________________
  Cars - 1    *9      1   *5     1    *5     1     2
            2    *10    2   *6     2      6     3     4
            3    *11    3   *7     3    *7    *5     6
            4    *12    4   *8     4      8    *7     8
          *9      13   *5    9   *13  *13     9    10
          *10    14   *6    10  *14  *14    11   12
          *11    15   *7    11  *15  *15  *13   14
          *12    16   *8    12  *16  *16  *15   16

  I may be asking the impossible.
  Thanks Again, Derek

#3 Help Me ! » 8 Races Between 16 Cars Question » 2009-03-03 11:08:01

resol
Replies: 4

Ive used all the brain power I have and its not close to enough.

  Im having a pinewood derby race with 16 cars and 8 races. Ive figured out how to get everyone to race 4 out of 8 times. My problem is that I want everyone to get to race against everyone else at least once but when I try to move a car it affects more than I can keep up with.

  Is there a table I can punch these numbers into so that it will cross-reference with all the other numbers?

  Heres what I have so far:

      Race - 1   2   3   4    5    6    7    8 
      _____________________________

      Car -  1   9   15  2    5    1    1    2
               2   10  13  4    6    2    6    3
               3   11  11  6    7    3    7    4
               4   12  9    8    8    4    8    5
               5   13  7    10  12  9    12   9
               6   14  5    12  13  10  13   10
               7   15  3    14  14  11  14   11
               8   16  1    16  15  16  15   16

  Thanks, Derek

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