Definition 1. Let \(A_1, \ldots, A_n\) be sets. Then the Cartesian product \(A_1 \times \cdots \times A_n\) is the set of all ordered \(n\)-tuples \(\left( a_1, \ldots, a_n \right)\) such that \(a_i \in A_i\) for \(1 \leq i \leq n\).
Definition 1. Let \(A_1, \ldots, A_n\) be sets. Then the Cartesian product \(A_1 \times \cdots \times A_n\) is the set of all ordered \(n\)-tuples \(\left( a_1, \ldots, a_n \right)\) such that \(a_i \in A_i\) for \(1 \leq i \leq n\).