Question:
If $A=\{1,2\}$, find $A \times A \times A$.
Solution:
A = {1, 2}
$A \times A=\{1,2\} \times\{1,2\}=\{(1,1),(1,2),(2,1),(2,2)\}$
$A \times A \times A=\{1,2\} \times\{(1,1),(1,2),(2,1),(2,2)\}$
Therefore
$A \times A \times A=\{(1,1,1),(1,1,2),(1,2,1),(1,2,2),(2,1,1),(2,1,2),(2,2,1),(2,2,2)\}$
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