KöMaL 2012 C1135

Six students qualified for the finals of the mathematics competition organized by a school: Alan (A), Bill (B), Cecilia (C), Diana (D), Eleanor (E) and Frank (F). When the first problem had been assessed, they were told that 3 students achieved 10 points and the others achieved 7. Everyone was instructed to guess who had the 10 points. The guesses were as follows: A, B, D; A, C, E; A, D, E; B, C, E; B, D, E; C, D, E. Three of them each guessed two right, two of them each guessed one right, and one had no right guess. It turned out that no one guessed all three right. Which students got 10 points?