Let A=1,2,3 and B=a, f , then find a) A times B b) B times A

## Step 1: Define Cartesian Product \( A \times B \)<br />### The Cartesian product \( A \times B \) is the set of all ordered pairs where the first element is from set \( A \) and the second element is from set \( B \). <br />## Step 2: Calculate \( A \times B \)<br />### For each element in \( A = \{1, 2, 3\} \), pair it with each element in \( B = \{e, f\} \). This results in the set of ordered pairs: \( \{(1, e), (1, f), (2, e), (2, f), (3, e), (3, f)\} \).<br />## Step 3: Define Cartesian Product \( B \times A \)<br />### The Cartesian product \( B \times A \) is the set of all ordered pairs where the first element is from set \( B \) and the second element is from set \( A \).<br />## Step 4: Calculate \( B \times A \)<br />### For each element in \( B = \{e, f\} \), pair it with each element in \( A = \{1, 2, 3\} \). This results in the set of ordered pairs: \( \{(e, 1), (e, 2), (e, 3), (f, 1), (f, 2), (f, 3)\} \).