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Operations on Sets

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By Expert Faculty of Sri Chaitanya
Question

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

Moderate
Solution

 Given n(U)=60,n(C)=25,n(T)=20,n(CT)=10 n(CT)=n(CT) =n(U)n(CT) =n(U)[n(C)+n(T)n(CT)] =60[25+2010] =25


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