Answer: 64.
- A 6
- B 32
- C 64
- D 12
Correct answer: C. 64
Explanation: A relation is any subset of A×B. Here n(A×B) = 3×2 = 6, so the number of relations is 2⁶ = 64.
A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.
Concept context
Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range