For any finite set S, let |S| denote the number of elements in S. Find the number of ordered pairs (A, B) such that A and B are (not necessarily distinct) subsets of \{1,2,3,4,5\} that satisfy

|A| \cdot|B|=|A \cap B| \cdot|A \cup B|

For any finite set S, let |S| denote the number of elements in S. Find the number of ordered pairs (A, B) such that A and B are (not necessarily distinct) subsets of \{1,2,3,4,5\} that satisfy

|A| \cdot|B|=|A \cap B| \cdot|A \cup B|