If $A = {a, b, c, d}, B = {x, y}$ , find $A X B, B X A, A X A, B X B .$

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Solution

Solution:-
$A = {a, b, c, d}$
$B = {x, y}$
Therefore,
$A \times B = {(a, x), (a, y), (b, x), (b, y), (c, x), (c, y), (d, x), (d, y),}$
$B \times A = {(x, a), (x, b), (x, c), (x, d), (y, a), (y, b), (y, c), (y, d),}$
$A \times A = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (b, d), (c, a), (c, b), (c, c), (c, d), (d, a), (d, b), (d, c), (d, d)}$
$B \times B = {(x, x), (x, y), (y, x), (y, y)}$

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