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How many different routes are there from city a to b to c

Question: Suppose there are three roads from city A to city B and five roads from city B to city C.

a. How many ways is it possible to travel from city A to city C via city B?

b. How many different round-trip routes are there from city A to B to C to B and back to A?

c. How many different routes are there from city A to B to C to B and back to A in which no road is traversed twice?

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Mathematics: How many different routes are there from city a to b to c

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