Suppose there are 7 roads connecting town A to town B and 5 roads connecting town B to town C. In how many ways can a person travel from A to C via B?
ways: 7*5
To find the number of ways a person can travel from town A to town C via town B, we need to multiply the number of available choices at each step.
In this case, there are 7 roads connecting town A to town B, and for each road from A to B, there are 5 roads connecting town B to town C.
So, to find the total number of ways, we simply multiply the number of roads from A to B (7) by the number of roads from B to C (5):
Total number of ways = Number of roads from A to B * Number of roads from B to C
= 7 * 5
= 35
Therefore, there are 35 ways a person can travel from town A to town C via town B.