So you think you can divide?

The members of a chess club took part in a round robin competition in which each plays every one else once. All members scored the same number of points , except four juniors whose total score were 17.5 . How many members were there in the club? Assume that for each win a player scores 1 point , for draw 1/2 point and zero for losing.

27 21 25 Not possible

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