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Question
If n(A) = 25, n(B) = 40, n(A ∪ B) = 50 and n(B’) = 25, find n(A ∩ B) and n(U).
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Solution
Given, n(A) = 25, n(B) = 40, n(A ∪ B) = 50 and n(B’) = 25
n(A ∩ B) = n(A) + n(B) – n(A ∪ B)
n(A ∩ B) = 25 + 40 – 50
= 65 – 50
= 15
n(U) = n(B) + n(B)’
= 40 + 25
= 65
∴ n(A ∩ B) = 15 and n(U) = 65
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