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Question
If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5, find n(A'∩ B)
Solution
n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5
n(A ∩ B) = n(A) + n(B) − n(A ∪ B)
= 35 + 20 − 45
= 10
n(A'∩ B) = n(B) – n(A ∩ B)
= 20 – 10
= 10
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