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MathNet 2023-part-04 — 191 problems (EN–VI) Question 102

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 102

There are $2023$ employees in the office, each of them knowing exactly $1686$ of the others. For any pair of employees they either both know each other or both don't know each other. Prove that we can find $7$ employees each of them knowing all $6$ others.