1. Let A be any set and let B = ∅. What can you conclude about A × B ?
2. Let A = {a} and B = {1, 2, 3}. List all possible relations between A and B.
3. Let A = {1, 2}.
(a) How many elements are in the set A × A?
(b) How many possible relations are there on set A?
(c) How many possible relations are there on the set {1, 2, 3}?
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