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Given a universal set U with n(U) = 700, n(A) = 200, n(B) = 300, and n(A ∩ B) = 100, what is the value of n(A' ∩ B')?
- 400
- 600
- 300
- None of these
Correct answer: 300
Solution
By De Morgan, A' n B' = (A u B)'. n(A u B) = 200 + 300 - 100 = 400, so n(A' n B') = 700 - 400 = 300.
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