Can you count tournament matches by counting the losers?
A knockout bracket may look complicated, especially when someone gets a bye. In a completed two-player single-elimination tournament with one loser per match, each played match removes one entrant until only the winner remains.
Questions you could explore
- Why do seven entrants require six played matches under these assumptions?
- What changes if the tournament adds placement games?
Start reading
- NRICH, University of CambridgeTournament Scheduling
NRICH introduces single-elimination formats and byes; counting eliminations supplies the short argument for the stated model.
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