A TV station holds a math talent competition, where each participant will be scored by 8 people. The scores are F (failed), G (good), or E (exceptional). The competition is participated by three people, A, B, and C. In the competition, A and B get the same score from exactly 4 people. C states that he has differing scores with A from at least 4 people, and also differing scores with B from at least 4 people. Assuming C tells the truth, how many scoring schemes can occur?
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Some people here argued about the wording. The last sentence, in Indonesian, read:
Quote:
Dalam berapa cara penilaian dapat diberikan kepada Candra, dengan asumsi bahwa apa yang dikatakan Candra adalah benar?
For obvious reasons, I change Candra (name of person) to C. Translating directly:
Quote:
In how many ways can C gets his scores, with the assumption that C tells the truth?
There are different interpretations: