Product Rule for Counting/Examples/Choices from 2 and 3

Example of Use of Product Rule for Counting
The canonical example concerns choices from the menu at a restaurant:

You may select exactly one dish from each category:


 * Starters


 * $(1): \quad$ Crottled Greeps
 * $(2): \quad$ Stone Soup
 * $(3): \quad$ Petty-Dwarf Roots


 * Main Course


 * $(1): \quad$ Hufu Salad
 * $(2): \quad$ Braised Trake in Funistrada

The diner then has $2 \times 3 = 6$ possible different meals:


 * $(1): \quad$ Crottled Greeps with Hufu Salad
 * $(2): \quad$ Crottled Greeps with Braised Trake in Funistrada


 * $(3): \quad$ Stone Soup with Hufu Salad
 * $(4): \quad$ Stone Soup with Braised Trake in Funistrada


 * $(5): \quad$ Petty-Dwarf Roots with Hufu Salad
 * $(6): \quad$ Petty-Dwarf Roots with Braised Trake in Funistrada