Prove or give a counterexample.
(a) A × B = B × A
(b) (A ∪ B) × C = (A × C) ∪ (B × C)
(c) (A × B) ∩ (C × D) = (A ∩ C ) × (B ∩ D)
(d) (A × B) ∪ (C × D) = (A ∪ C) × (B ∪ D)
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