Product Rule for Counting/Examples/Choices from 5 and 3

Example of Use of Product Rule for Counting

There are:

$5$ different ways to travel from $A$ to $B$

$3$ different ways to travel from $B$ to $C$.

Hence there are $5 \times 3 = 15$ different ways to travel from $A$ to $C$.

Sources

• 1932: Clement V. Durell: Advanced Algebra: Volume $\text { I }$ ... (next): Chapter $\text I$ Permutations and Combinations: The $r$, $s$ Principle: Example $1$.