benchmarks.wiki / Public workspace
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Omni-MATH / Let n be a positive integer. n people take part in a certain party. For any pair of the participants, either the two are acquainted with each other or they are not. What is the max…
Problem
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problem
Let be a positive integer. people take part in a certain party. For any pair of the participants, either the two are acquainted with each other or they are not. What is the maximum possible number of the pairs for which the two are not acquainted but have a common acquaintance among the participants?
Plain-text mathematical notation (without MathML)
Let n be a positive integer. n people take part in a certain party. For any pair of the participants, either the two are acquainted with each other or they are not. What is the maximum possible number of the pairs for which the two are not acquainted but have a common acquaintance among the participants?
Original LaTeX notation
Let $n$ be a positive integer. $n$ people take part in a certain party. For any pair of the participants, either the two are acquainted with each other or they are not. What is the maximum possible number of the pairs for which the two are not acquainted but have a common acquaintance among the participants?
Discussion
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Source and history
- task_id
54d22ace-3606-5352-8441-f23fc8b09826- task_key
test--54d22ace-3606-5352-8441-f23fc8b09826- task_revision_id
- 1
- config / split
- / test
initial import