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Hungary-Israel Binational 1999\6

Source: Maximal number of examinees

October 30, 2008
combinatorics unsolvedcombinatorics

Problem Statement

In a multiple-choice test, there are 4 problems, each having 3 possible answers. In some group of examinees, it turned out that for every 3 of them, there was a question that each of them gave a different answer to. What is the maximal number of examinees in this group?