There are 5 major roads from city X to city Y and 9 major roads from city Y to city Z. How many different trips can be made from city X to city Z passing through city Y?

Question

There are 5 major roads from city X to city Y and 9 major roads from city Y to city Z. How many different trips can be made from city X to city Z passing through city Y?

The number of different trips from city X to city Z passing through city Y is?

Answer 1

Going from City X to Y, I can take up to 5 different paths.

Going from City Y to Z, I can take any of 9 different paths.

Hence, going from X to Z through Y gives me 5*9 paths to take.

Ans: 45