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GRE Test. Tips?

Simply thinking, if each player played 3 games each thats a total of 21 games( including ones counted twice, I know)
then take it this way. for each game counted in the 21, its actually only have a real game and you cant make 21 out of a sum of even numbers.

Its like saying Okay there's 7 players. everyone played 1 game each. with only one opponent.
You see, this is just not possible.
 
The only way I see it possible for every player to participate only 3 times, is with an odd number of players. Anyways: I still do not assume the question is wrong... That should be our last resort ;) . However, I just dont see a different way to solve it.
 
Yes, I agree that there is something critically wrong with this question (and no, I didn't copy it wrongly, although there might be some slight change in wording). I lodged a complaint of this question to the administration of the test centre (after sitting the GRE), but ETS claims that the test questions presented had a single best answer and that the examination was properly assembled, administered and scored.
 
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