Discussion
A hundred participants entered a Spell Bee Contest. Rounds were held with 2 participants competing against each other in every round. After each round, the loser of the round gets eliminated from the contest and the winner of the round continues in the game. If none of the rounds resulted in a tie/draw, how many rounds were played to decide the final winner ?
Answer: D
99 rounds are needed.
Every round eliminates exactly one participant, and the contest ends when one participant is left. Of the 100 entrants, 99 must be eliminated, so 99 rounds are played whatever the pairing.
The 100 option counts the winner as eliminated, and 101 and 98 are off-by-one slips. The general rule for a single-elimination contest is that n players need n − 1 matches.
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