Let A and B be two finite sets such that n A 20 n B 28 and n A cup B 36 find n A cap B ........

Quantitative Aptitude ( CCS) Set theory

Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).

Using the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B).
then n(A ∩B) = n(A) + n(B) - n(A ∪B)
= 20 + 28 - 36
= 48 - 36
= 12

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