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| Math Central | Quandaries & Queries |
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Question from pran, a parent: it is known that among any group of three students in a class two of them are friends. the total number of students is 25. prove that there is a student who has at least 12 friends |
Hint: Suppose that Alice and Bob are not friends. Can there be a student in the class who is not friends of neither Alice nor Bob?
Claude
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