how many baseball games of single elimination must be played by 421 teams in a tournament before a winner is determined
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To determine the number of baseball games of single elimination that need to be played by 421 teams in a tournament before a winner is determined, we need to understand how a single-elimination tournament works.
In a single-elimination tournament, each team competes in one game, and the losing team is immediately eliminated from the tournament. The winning team moves on to the next round until the final round, where the last two teams compete for the championship.
To determine the total number of games required, we can use the formula:
Total games = Total teams - 1
Therefore, the number of games needed for 421 teams will be:
Total games = 421 - 1 = 420 games
Hence, 420 baseball games of single elimination must be played by 421 teams in the tournament before a winner is determined.