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If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is?

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If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is?

(a) 20

(b) 30

(c) 40

(d) 10

I got this question in a national level competition.

My question is taken from Sets topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Correct choice is (d) 10

Best explanation: n(A U B) = n(A) + n(B) – n(A ∩ B).

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