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7. On the way to work each day, Jane drops her children off at their elementary school. She has found three ways to get from home to the elementary school and six ways to get from the elementary school to work. How many ways does she have to get from home to work, assuming that she must go by the elementary school?

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There are 3 ways to get from home to elementary school and 6 ways to get from the elementary school to work. We have to find the number of possible ways to get home to work, assuming that she must go by the elementary school.

Suppose, she selected 1st way to get from home to school, then she can select 6 ways to get from school to work

Again, she can select 2nd way to get from home to school, then she can select 6 ways to get from school to work

Finally, she can select 3rd way to get from home to school, then she can select 6 ways to get from school to work

So, total number of possible ways = 6 ways + 6 ways+ 6 ways = 18 ways

So, there 18 number of possible ways to get home to work, assuming that she must go by the elementary school.

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