• Ok the systems that are fairest depend on the number of teams and number of picks.

    If the number of teams and players is the same then I'd suggest the following method:

    1 2 3 4 5
    2 3 4 5 1
    3 4 5 1 2
    4 5 1 2 3
    5 1 2 3 4

    If that makes sense?

    For the Bristol as there are 8 teams but only 7 rounds I'd do the above method but missing out the last round (which is still a much fairer than serpentine, where the first pick team will get the first pick in 4 of the 7 rounds!)...

    When the disparity between number of teams and picks gets much bigger, I'd double the jumps, say 8 teams with 4 picks:
    1 2 3 4 5 6 7 8
    3 4 5 6 7 8 1 2
    5 6 7 8 1 2 3 4
    7 8 1 2 3 4 5 6

    For some pick/ team ratios the fairest system is a bit more complicated... But I'll leave those possibilities for later. (Can't leave it, in the above example it might be slightly fairer to swap the pairs in alternating rounds)

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