Which game will B play?

A, B, C, D, E, F, G and H are eight friends studying in three different engineering colleges - X, Y and Z. Taken together, they play three different games - volleyball, throwball and cricket. No less than two of them and no more than three of them study in any one college. Not more than three of them play in any one of the three games. G and E only study in college Y. G plays throwball and E plays volley ball. A and H do not study in college Z and play the same game but not throwball. C and F study in college Z. C palys volley ball and F plays throwball. D plays volleyball and does not study in the same college where C studies. B does not play cricket.