Cartesian Product/Examples/Product of Arbitrary Sets 1

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Examples of Cartesian Products

Let $S = \set {1, 2, 3}$.

Let $T = \set {a, b}$.

Then:

\(\ds S \times T\) \(=\) \(\ds \set {\tuple {1, a}, \tuple {1, b}, \tuple {2, a}, \tuple {2, b}, \tuple {3, a}, \tuple {3, b} }\)
\(\ds T \times S\) \(=\) \(\ds \set {\tuple {a, 1}, \tuple {a, 2}, \tuple {a, 3}, \tuple {b, 1}, \tuple {b, 2}, \tuple {b, 3} }\)


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