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A, B and C are three places such that there are three different roads from A to B, four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

A, B and C are three places such that there are three different roads from A to B, four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads? Correct Answer 15

Option (3) is correct.

One can travel from A to B in 4 ways and B to C in 3 ways.

So, one can travel A to C via B = 4 × 3 = 12.

One can travel directly from A to C = 3.

So total ways can one travel from A to C using these roads = 12 + 3 = 15.

Hence, the correct answer is an option(3) i.e., 15.

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