Final answer:
The Cartesian product of B × B × B is {(x, x, x), (x, x, y), (x, y, x), (x, y, y), (y, x, x), (y, x, y), (y, y, x), (y, y, y)}.
Step-by-step explanation:
The Cartesian product, or the set of all possible ordered pairs, of B × B × B can be calculated by taking each element of B and multiplying it with each element of B and then again with each element of B.
In this case, B = {x, y}. So, B × B × B would be {(x, x, x), (x, x, y), (x, y, x), (x, y, y), (y, x, x), (y, x, y), (y, y, x), (y, y, y)}.
Therefore, B × B × B = {(x, x, x), (x, x, y), (x, y, x), (x, y, y), (y, x, x), (y, x, y), (y, y, x), (y, y, y)}.