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Question
If n(A) = 300, n(A ∪ B) = 500, n(A ∩ B) = 50 and n(B’) = 350, find n(B) and n(U)
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Solution
Given,
n(A) = 300, n(A ∪ B) = 500, n(A ∩ B) = 50 and n(B’) = 350
n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
500 = 300 + n(B) – 50
500 = 250 + n(B)
500 – 250 = n(B)
250 = n(B)
∴ n(B) = 250
n(U) = n(B) + n(B)’
250 + 350 = 600
∴ n(B) = 250 and n(U) = 600
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