Given two sets $A = \{apple, banana, cherry\}$ and $B = \{red, yellow\}$, find the Cartesian product $A \times B$.

1. Problem Description

Given two sets $A = \{apple, banana, cherry\}$ and $B = \{red, yellow\}$, find the Cartesian product $A \times B$.

2. Solution Steps

The Cartesian product $A \times B$ is the set of all ordered pairs $(a, b)$ where $a \in A$ and $b \in B$.

$A = \{apple, banana, cherry\}$

$B = \{red, yellow\}$

$A \times B = \{(a, b) \mid a \in A, b \in B\}$

$A \times B = \{(apple, red), (apple, yellow), (banana, red), (banana, yellow), (cherry, red), (cherry, yellow)\}$

3. Final Answer

$A \times B = \{(apple, red), (apple, yellow), (banana, red), (banana, yellow), (cherry, red), (cherry, yellow)\}$