Final answer:
The Cartesian product of sets A, B, and C is given by A × B × C = {(a, x, 0), (a, x, 1), (a, y, 0), (a, y, 1), (b, x, 0), (b, x, 1), (b, y, 0), (b, y, 1), (c, x, 0), (c, x, 1), (c, y, 0), (c, y, 1)}.
Step-by-step explanation:
The set A × B × C represents the Cartesian product of the sets A, B, and C. To find A × B × C, we need to take each element from set A, pair it with each element from set B, and then pair the resulting pairs with each element from set C. In this case, A = {a, b, c}, B = {x, y}, and C = {0, 1}.
So, A × B × C = {(a, x, 0), (a, x, 1), (a, y, 0), (a, y, 1), (b, x, 0), (b, x, 1), (b, y, 0), (b, y, 1), (c, x, 0), (c, x, 1), (c, y, 0), (c, y, 1)}.