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?

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

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step-by-step explanation: