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0 votes
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in Mathematics by (8.0k points)

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

(A) 0 

(B) 25

(C) 35 

(D) 45

1 Answer

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by (13.2k points)
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Best answer

Answer is (B)

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

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