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Given n(U) = 600, n(A) = 100, n(B) = 200, n(A intersection B) = 50, where U is the universal set. Find n(A-complement intersection B-complement).
- 300
- 350
- 250
- 200
Correct answer: 350
Solution
De Morgan's law: (A intersection B)' = A' union B', and (A union B)' = A' intersection B'. Here A' intersection B' = (A union B)'. n(A union B) = 100 + 200 - 50 = 250. n(A' intersection B') = 600 - 250 = 350.
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