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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) - Mathematics and Statistics

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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)

Sum

Solution

n(X) = 50, n(A) = 35, n(B) = 20, n(A' ∩ B') = 5

n(A' ∩ B) = n(B) – n(A ∩ B)

= 20 – 10

= 10

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Chapter 1: Sets and Relations - Exercise 1.1 [Page 10]

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