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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. |
Answer» Let C be the set of students who play cricket and T be the set of students who play tennis. Then, `n (U) = 60, n (C ) = 25, n(T) = 20` and `n(C nn T) = 10` `:. N(C uu T) = n(C ) + n (T) - n (C nn T)` `= 25+ 20 - 10 = 35` `:.` Number of students who play neither `= n(U) - n(C uu T)` `= 60 - 35 = 25` |
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