Let A and B be two sets. show that the set A×B and B×A have an element in common if the sets A and B have an element in common .
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Step-by-step explanation:
× (B ∪ A) } = n { (A ∩ B) } × n{ (A ∩ B) } Hence A × B and B × A have an element in common . The number of elements is k² provided that k is the number of elements in common in A and B
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