benchmarks.wiki / Public workspace
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Omni-MATH / Six distinguishable players are participating in a tennis tournament. Each…
Problem
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problem
Six distinguishable players are participating in a tennis tournament. Each player plays one match of tennis against every other player. There are no ties in this tournament; each tennis match results in a win for one player and a loss for the other. Suppose that whenever and are players in the tournament such that wins strictly more matches than over the course of the tournament, it is also true that wins the match against in the tournament. In how many ways could the tournament have gone?
Plain-text mathematical notation (without MathML)
Six distinguishable players are participating in a tennis tournament. Each player plays one match of tennis against every other player. There are no ties in this tournament; each tennis match results in a win for one player and a loss for the other. Suppose that whenever A and B are players in the tournament such that A wins strictly more matches than B over the course of the tournament, it is also true that A wins the match against B in the tournament. In how many ways could the tournament have gone?
Original LaTeX notation
Six distinguishable players are participating in a tennis tournament. Each player plays one match of tennis against every other player. There are no ties in this tournament; each tennis match results in a win for one player and a loss for the other. Suppose that whenever $A$ and $B$ are players in the tournament such that $A$ wins strictly more matches than $B$ over the course of the tournament, it is also true that $A$ wins the match against $B$ in the tournament. In how many ways could the tournament have gone?
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Source and history
- task_id
ec84273c-74f6-5450-be04-e2be3779eeef- task_key
test--ec84273c-74f6-5450-be04-e2be3779eeef- task_revision_id
- 1
- config / split
- / test
initial import