Day 5 · Ordered Pairs and the Cartesian Product

An ordered pair is a pair of values where order matters, written as (a, b) — (2,3) is NOT the same as (3,2)!

The Cartesian product (A × B) is the set of all ordered pairs where the first value comes from A and the second from B.

If A={1,2} and B={x,y}, then A×B = {(1,x),(1,y),(2,x),(2,y)}.

Activity: If A={1,2,3} and B={4,5}, find how many ordered pairs are in A×B.