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Math Help - chess tournament - results problem

  1. #1
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    chess tournament - results problem

    in a chess tournament take part 5 chess players. Determine the results of all games if we know that :
    1) every player played with 4 other players
    2) all players have different points(results)
    3)the winner didn't have any draw
    4)the second place didn't lose any game
    5)the fourth place didn't win any game
    and we know that if a player wins a game takes 1 point if he lose 0 and for draw 0.5
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  2. #2
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    Zip!
    Last edited by Wilmer; April 21st 2010 at 07:59 PM. Reason: remove
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  3. #3
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    Code:
      A       B       C       D        E
    B-L(1)  A-W(1)  A-L(2)  A-L (3)  A-L (4)
    C-W(2)  C-T(5)  B-T(5)  B-T (6)  B-T (7)
    D-W(3)  D-T(6)  D-W(8)  C-L (8)  C-T (9)
    E-W(4)  E-T(7)  E-T(9)  E-T(10)  D-T(10)
     
    1:3     2:2.5   3:2     5:1      4:1.5   : position:points
    A,B,C,D,E are the players. W=Win, T=Tie, L=Loss.
    Game(1):A plays B, game(2):A plays C, ...., game(10)D plays E
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