Given the sets A={1,2,3}A = \{1, 2, 3\}A={1,2,3}, B={2,3,4}B = \{2, 3, 4\}B={2,3,4}, and C={5,6}C = \{5, 6\}C={5,6}, determine the elements of the set (A×C)∩(B×C)(A \times C) \cap (B \times C)(A×C)∩(B×C).
{(2,5),(2,6),(3,5),(3,6)}\{(2, 5), (2, 6), (3, 5), (3, 6)\}{(2,5),(2,6),(3,5),(3,6)}
{(2,5),(3,6)}\{(2, 5), (3, 6)\}{(2,5),(3,6)}
{(1,5),(2,5),(3,5),(4,5),(1,6),(2,6),(3,6),(4,6)}\{(1, 5), (2, 5), (3, 5), (4, 5), (1, 6), (2, 6), (3, 6), (4, 6)\}{(1,5),(2,5),(3,5),(4,5),(1,6),(2,6),(3,6),(4,6)}
{(2,2),(3,3),(5,5),(6,6)}\{(2, 2), (3, 3), (5, 5), (6, 6)\}{(2,2),(3,3),(5,5),(6,6)}