1.8 Cartesian Product and Advanced Concepts

$A \times A = \{ (1,1), (1,2), (2,1), (2,2) \}$. $A \times A \times A$ consists of ordered triplets $(x, y, z)$. Total elements = $2 \times 2 \times 2 = 8$. $A \times A \times A = \{ (1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2,1), (2,2,2) \}$.