InterviewSolution
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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. Find the number of students who play neither? |
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Answer» According to the question, Total number of students = 60 Students who play cricket = 25 Students who play tennis = 20 Students who play both the games = 10 To find: number of students who play neither Let the total number of students = S Let the number of students who play cricket = C Let the number of students who play tennis = T n(S) = 60, n(C) = 25, n(T) = 20, n(C ∩ T) = 10 So, Number of students who play either of them, n(C ∪ T) = n(C) + n(T) – n(C ∩ T) = 25 + 20 – 10 = 35 Hence, Number of student who play neither = Total – n(C ∪ T) = 60 – 35 = 25 Therefore, there are 25 students who play neither cricket nor tennis. |
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