A cricket club has $15$ members, of whom only $5$ can bowl. What is the probability that in a team of $11$ members at least $3$ bowlers are selected?
This is my textbook problem. Considering $A , B$ and $C$ to be three possible events, my book says they're mutually exclusive events. But how is that possible? I don't understand. Out of $15$ players, there cannot be three mutually exclusive team consisting of $11$ players. Somebody please help.