In a group of 50 people, 30 like to play cricket, 25 like to play football and 32 like to play hockey. Assume that each person in the group likes to play at least one of the three games. If 15 people like to play both cricket and football, 11 like to play football and hockey and 18 like to play cricket and hockey. Find :

(a) How many like to play all three games?

(b) How many like to play only football?

(c) How many like to play only hockey?

(d) How many like to play exactly one game?