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Omni-MATH / Given 30 students such that each student has at most 5 friends and for every 5 students there is a pair of students that are not friends, determine the maximum k such that for all …

Problem

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problem

Given

30

students such that each student has at most

5

friends and for every

5

students there is a pair of students that are not friends, determine the maximum

k

such that for all such possible configurations, there exists

k

students who are all not friends.

Plain-text mathematical notation (without MathML)

Given 30 students such that each student has at most 5 friends and for every 5 students there is a pair of students that are not friends, determine the maximum k such that for all such possible configurations, there exists k students who are all not friends.

Original LaTeX notation

Given $30$ students such that each student has at most $5$ friends and for every $5$ students there is a pair of students that are not friends, determine the maximum $k$ such that for all such possible configurations, there exists $k$ students who are all not friends.

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task_id: d65fb229-75ce-5aca-b984-fb74c5e2a34b
task_key: test--d65fb229-75ce-5aca-b984-fb74c5e2a34b
task_revision_id: 4
config / split: / test

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