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In any single elimination pool tournament with an odd number of players or teams, a by is always neecssary. This is one reason double elimination can be slightly more "fair", or points are used.
Players or team are paired, 1 to 1, but with an odd number in any round, a player has no one to play. This player gets advanced to the next round as if he/she had a win, and this is called a "bye". The play should be arranged such that no player or team gets more than one bye.
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