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Let A = {a, b, c}, B = {x, y}, and c = {0, 1}. Identify B × B × B.

User Beach
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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)}.

User Nutsiepully
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