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Miley walks to school by 1 of 3 routes in the morning. After school she chooses from 4 different

routes to get to work. When work is done she travels home by 1 of 5 different ways. How many
different routes can Miley travel from home to school to work and back home again?

User KennyZ
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1 Answer

3 votes

Miley travel from home to school to work and back home again in 60 different ways

Solution:

Miley walks to school by 1 of 3 routes in the morning

So she chooses 1 route from 3 routes

Number of ways = 1 x 3 = 3 ways

After school she chooses from 4 different routes to get to work

So she has 4 different routes and she picks up 1

Number of ways = 1 x 4 = 4 ways

When work is done she travels home by 1 of 5 different ways

So she has 5 different routes and she picks up 1

Number of ways = 1 x 5 = 5 ways

How many different routes can Miley travel from home to school to work and back home again?

Total number of different ways = 3 ways x 4 ways x 5 ways

Total number of different ways = 3 x 4 x 5 = 60 ways

Thus Miley travel from home to school to work and back home again in 60 ways

User Mohamed Reda
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