Question

Suppose there are 7 roads connecting town a to town b and 8 roads connecting town b to town c. In how many ways can a person travel from a to c via b ?

Answer 1

Answer:

$7\cdot{8}=56$

Step-by-step explanation:

In combinatorics, the rule of product states that if there are $x$ ways of doing one thing and $y$ ways of doing another thing, then there are $x\cdot{y}$ ways of performing both actions.

In this case, if there are 7 ways of getting from town A to town B, and 8 ways of getting from town B to town C, then there are $7\cdot{8}=56$ ways of getting from town A to town C via town B.