Question

there are five roads from town a to town b, four roads from town b to c and two roads directly from town a to town c. How many ways can one make a trip from town a to town c?

Answer 1

Answer: 22

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If we must go through town B, then there are 20 ways to do this because of the 5 roads from A to B, then 4 roads from B to C. So 5*4 = 20.

If we go straight from A to C (not going through B), then there are 2 additional options making 20+2 = 22 total routes possible