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MYTS 2019 - Grade 8 - Round 2 Question 6

MYTS · MYTS 2019 - Grade 8 - Round 2

Question 6

Each of classes $8A,8B,8C$ has 36 students. Every student knows at least 42 students in the other two classes. Prove that there are two students in different classes who know each other and have at least six common acquaintances in the remaining class.

Note: Acquaintance is mutual.

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