Product Rule for Counting/Examples/Choices from 2 and 3
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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
Sources
- 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {3-1}$ Permutations and Combinations: Example $\text {3-1}$