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).

Exercise 5.1 · Q23

Q. If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'\capB') = 5, find n(A'\capB).

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B splits into the part inside A (A∩B) and the part outside A (A'∩B), so $n(A'\cap B) = n(B) - n(A\cap B) …

Q.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).