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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 |
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Answer» B. 25 Given: Total number of students are 60 Students who play cricket and tennis are 25 and 20 respectively Students who play both the games are 10 To find: number of students who play neither Let S be the total number of students, C and T be the number of students who play cricket and tennis respectively n(S) = 60, n(C) = 25, n(T) = 20, n(C ∩ T) = 10 Number of students who play either of them = n(C ∪ T) = n(C) + n(T) – n(C ∩ T) = 25 + 20 – 10 = 35 Number of student who play neither = Total – n(C ∪ T) = 60 – 35 = 25 Hence, there are 25 students who play neither cricket nor tennis. |
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