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Math Help - Golf Math Problem

  1. #1
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    Golf Math Problem

    Hi there

    Not sure this is a math problem or just a problem but thought I would seek your help. 1st thing it helps if you play golf and understand the term 4BBB or 4 Ball Better Ball. Basically I am organising a 4 day 4 round golf competition, there are 12 players and I want to establish the most fair, random draw for the 4 day event that I can such that no two players play together as a pair more than once and the most variety possible is introduced in each round as is possible i.e. if possible each player plays with a differnt 3 people in each game or if the math doesnt add up in that way the number of time 2 people play in the same game is minimised and they certainly dont appear on the same side.

    Day1 Event 1 would concivably start like this;

    Player 1 & Player 2 v Player 3 & Player 4 - Game 1
    Player 5 & Player 6 v Player 7 & Player 8 - Game 2
    Player 9 & Player 10 v Player 11 & Player 12 - Game 3

    Applying your mathematical genius what shoud Day2 Event 2 look like, day 3 Event 3 and Day4 Event 4 draws look like given the desire expressed above I.e. no 2 players play together more than once as a pairing and as far as possible each game comprises a set of four people who have not played together or with each other previously.

    Hopefully it makes sense maybe more so if your a golfer, look forward to your responses.

    Stu
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  2. #2
    Super Member
    Joined
    Jan 2009
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    Quote Originally Posted by sjb110869 View Post
    Hi there
    ...
    1st thing it helps if you play golf and understand the term 4BBB or 4 Ball Better Ball.

    I am organising a 4 day 4 round golf competition,

    there are 12 players and I want to establish the most fair, random draw for the 4 day event that I can such that no two players play together as a pair more than once and the most variety possible is introduced in each round as is possible i.e. if possible each player plays with a differnt 3 people in each game or if the math doesnt add up in that way the number of time 2 people play in the same game is minimised and they certainly dont appear on the same side.

    Day1 Event 1 would concivably start like this;

    Player 1 & Player 2 v Player 3 & Player 4 - Game 1
    Player 5 & Player 6 v Player 7 & Player 8 - Game 2
    Player 9 & Player 10 v Player 11 & Player 12 - Game 3

    Applying your mathematical genius what shoud Day2 Event 2 look like, day 3 Event 3 and Day4 Event 4 draws look like given the desire expressed above I.e. no 2 players play together more than once as a pairing and as far as possible each game comprises a set of four people who have not played together or with each other previously.

    Hopefully it makes sense maybe more so if your a golfer, look forward to your responses.

    Stu

    How does 4BBB have anything to do with the pairings? Just curious about that point.


    "4 day 4 round"
    "Day1Event 1"
    2nd Q: does "event" equate to round?

    pairings per day (example):
    1 & 2 v. 3 & 4
    1 & 5 v. 6 & 7
    1 & 8 v. 9 & 10
    1 & 11 v. 12 & [2 or 5 or 8]

    Then iterate this form with the other players.

    If I were doing the pairings, I would prevent the two best players from being a pair, and likewise keep the two worst players from being a pair.
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