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If A and B are two sets such that n(A) = 70, n(B) = 60, n(A⋃B) = 110, then n(A⋂B) is equal to 

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If A and B are two sets such that n(A) = 70, n(B) = 60, n(A⋃B) = 110, then n(A⋂B) is equal to 

A. 240 

B. 50 

C. 40 

D. 20

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1 Answer

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n(A⋃B) = n(A)+n(B) - n(A⋂B) 

∴n(A⋂B) = n(A)+n(B) - n(A⋃B) 

∴n(A⋂B) = 70+60 -110 

∴n(A⋂B) = 20

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