If A = {1, 2}, find A × A × A.

Question

Philoid · Accepted Answer

A = {1, 2}

A × A = {1, 2} × {1, 2} = {(1, 1), (1, 2), (2, 1), (2, 2)}

A × A × A = {1, 2} × {(1, 1), (1, 2), (2, 1), (2, 2)}

Therefore

A × A × A = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}