In a Chinese chess competition held by the Graduate Association of Tunghai University, five graduate students from the School of Economics, the School of Management, the School of philosophy, the School of Mathematics and the School of Chemistry met each other. The competition information between the five graduate students A, B, C, D and E meets the following conditions: (1) A has only competed with 2 players; (2) the contestants from the College of Chemistry have competed with 3 players. (3) B is not a contestant of the School of Management, nor has he played against the contestants of the School of Management; (4) the contestants of the School of philosophy and C have played; (5) the contestants of the School of Management, the School of philosophy and the School of Mathematics have all played against each other; (6) Ding has only competed with one contestant.
C from?
School of Management