Mathematics
If n(A) = 30, n(B) = 20 and n(A ∪ B) = 36, find n(A ∩ B).
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Answer
Given - n(A) = 30
n(B) = 20
n(A ∪ B) = 36
∵ n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
Putting the values, we get
n(A ∩ B) = 30 + 20 - 36
⇒ n(A ∩ B) = 50 - 36
⇒ n(A ∩ B) = 14
∴ n(A ∩ B) = 14
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