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 \( A \), pair it with each element in \( B \):<br />\[<br />A \times B = \{ (1,e), (1,f), (2,e), (2,f), (3,e), (3,f) \}<br />\]<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 \( B \), pair it with each element in \( A \):<br />\[<br />B \times A = \{ (e,1), (e,2), (e,3), (f,1), (f,2), (f,3) \}<br />\]