Discussion

In a school, 300 students play cricket and 250 play hockey. If 110 students play both games, how many students play either cricket or hockey?

Answer: B

Let C be the set for cricket and H for hockey.

n(C) = 300, n(H) = 250, n(C ∩ H) = 110.

The number of students who play either game is the union, n(C ∪ H).

n(C ∪ H) = n(C) + n(H) - n(C ∩ H)

n(C ∪ H) = 300 + 250 - 110 = 550 - 110 = 440.

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