Question Detail
Question
If \(n(A) = p\), \(n(B) = q\), \(n(U) = N\), and \(A \cap B = \emptyset\), then \(n(A^c \cap B^c) = ?\)
Correct Answer
Option A is the correct answer.
Detailed Explanation
Since A and B are disjoint, n(A ∪ B) = p + q. Then A^c ∩ B^c = (A ∪ B)^c, so n((A ∪ B)^c) = N - (p+q) = N - p - q.
Hint
Use De Morgan's Law: (A^c ∩ B^c) = (A ∪ B)^c.