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Problem 4

If \(A\) has \(a\) elements and \(B\) has \(b\) elements, how many elements are in $A \times B$ ? Explain your answer.

Expert verified

The number of elements in the Cartesian product \(A \times B\) is equal to \(a \times b\), where \(a\) is the number of elements in A and \(b\) is the number of elements in B. This is because each element in A can be paired with each element in B, resulting in a total of \(a \times b\) ordered pairs.

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