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Posers and Puzzles

Posers and Puzzles

  1. Standard member wolfgang59
    23 Mar '09 22:32
    20 players enter a knockout tennis competition.

    1. How many byes are there in the first round?

    2. How many matches are there in total?

    3. N players enter a knockout competion. How many matches are there in total?
  2. 23 Mar '09 22:43 / 1 edit
    N-1 matches
  3. 24 Mar '09 16:49
    19 matches, # of byes depends on how byes are handled.

    One could try for mimimal byes and there would be 2 byes, in the 3rd and 4th rounds respectively.

    One could also place all byes in the first round, in which case there would be 12, with 4 matches to kick this thing off.
  4. Standard member wolfgang59
    27 Mar '09 17:17
    It does not matter how many byes you have or in what round.

    You always need N-1 results to eliminate N-1 players to leave one champ.