Question
Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(A ∩ B).

Answer

n(A) = 30, n(B) = 27 and n(A ∪ B) = 45
We know that,
n(A ∩ B) = n( A) + n(B) – n( A∪ B)
n(A ∩ B) = 30 + 27 – 45
n(A ∩ B) = 57 – 45 = 12

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