There are three roads from city X to city Y and four 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

Monica

Mathematics

30 January, 08:33

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

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Answers (1)

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Julianne Anderson · Answer 1

So, exist 12 different trips can be made from city X to city Z passing through city Y.

Step-by-step explanation:

We know that there are three roads from city X to city Y and four roads from city Y to city Z.

So if we chose the first path from city X to city Y, then we have 4 more options to go from city Y to city Z.

So if we chose the second path from city X to city Y, then we have 4 more options to go from city Y to city Z.

So if we chose the third path from city X to city Y, then we have 4 more options to go from city Y to city Z.

We get: 4+4+4=12.

So, exist 12 different trips can be made from city X to city Z passing through city Y.