There are 5 roads between town A and B and 4 roads
between town B and C. If a man travels from town A to town
C via town B, how many different routes can be chosen?
To determine the number of different routes that can be chosen from town A to town C via town B, we need to consider the number of choices at each step.
Given:
– There are 5 roads between town A and B.
– There are 4 roads between town B and C.
Since the man has to travel from town A to town C via town B, he needs to choose one road from A to B and one road from B to C.
The number of different route choices can be calculated by multiplying the number of choices at each step.
Number of choices from A to B = 5
Number of choices from B to C = 4
Total number of different routes = Number of choices from A to B × Number of choices from B to C = 5 × 4 = 20
Therefore, there are 20 different routes that can be chosen from town A to town C via town B.
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