Question

In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Find the number of students who play neither?

Answer 1

Let C be the set of students who play cricket and T be the set of students who play tennis.

n(U) = 60, n(C) = 25, n(T) = 20, and n(C ∩ T) = 10

n(C ∪ T) = n(C) + n(T) – n(C n T) = 25 + 20 – 10 = 35