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Question
Let A and B be two sets such that n(A) = 45, n(B) = 38 and n(A ∪B) = 70, find: n (A ∩ B).
Solution
n(A) = 45, n(B) = 38 and n(A∪ B) = 70
We know that,
n(A ∩ B) = n(A) + M(B) – n(A ∪B) n(A ∩ B)
= 45 + 38 – 70
= 83 – 70 = 13
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