Carlos is almost old enough to go to school! Based on where he lives, there are $6$ elementary schools, $3$ middle schools, and $2$ high schools that he has the option of attending. $\newline$ How many different education paths are available to Carlos? Assume he will attend only one of each type of school.

Full solution

Q. Carlos is almost old enough to go to school! Based on where he lives, there are

6

elementary schools,

3

middle schools, and

2

high schools that he has the option of attending.

\newline

How many different education paths are available to Carlos? Assume he will attend only one of each type of school.

Choose Schools Options: Carlos can choose from $6$ elementary schools.
Calculate Total Paths: He can also choose from $3$ middle schools.
Calculate Total Paths: He can also choose from $3$ middle schools.And he has $2$ high schools to pick from.
Calculate Total Paths: He can also choose from $3$ middle schools.And he has $2$ high schools to pick from.To find the total paths, multiply the number of options for each school level. $\newline$ Total paths = Number of elementary schools $\times$ Number of middle schools $\times$ Number of high schools.
Calculate Total Paths: He can also choose from $3$ middle schools.And he has $2$ high schools to pick from.To find the total paths, multiply the number of options for each school level. $\newline$ Total paths = Number of elementary schools $\times$ Number of middle schools $\times$ Number of high schools.So, Total paths = $6 \times 3 \times 2$ .
Calculate Total Paths: He can also choose from $3$ middle schools.And he has $2$ high schools to pick from.To find the total paths, multiply the number of options for each school level. $\newline$ Total paths = Number of elementary schools $\times$ Number of middle schools $\times$ Number of high schools.So, Total paths = $6 \times 3 \times 2$ .Calculating this gives us Total paths = $18$ .