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A boy lives at X and wants to go to School at Z. From his home X he has to first reach Y and then Y to Z. He may go X to Y by either 7 bus routes or 8 train routes. From there, he can either choose 5 bus routes or 6 train routes to reach Z. How many ways are there to go from X to Z?

Question

A boy lives at X and wants to go to School at Z. From his home X he has to first reach Y and then Y to Z. He may go X to Y by either 7 bus routes or 8 train routes. From there, he can either choose 5 bus routes or 6 train routes to reach Z. How many ways are there to go from X to Z?

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Solution

The boy has two options to go from X to Y: 7 bus routes or 8 train routes. So, there are a total of 7 + 8 = 15 ways to go from X to Y.

Similarly, from Y to Z, he has 5 bus routes or 6 train routes. So, there are a total of 5 + 6 = 11 ways to go from Y to Z.

To find the total number of ways to go from X to Z, we multiply the number of ways to go from X to Y by the number of ways to go from Y to Z.

So, the total number of ways to go from X to Z is 15 * 11 = 165 ways.

This problem has been solved

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