Question

a sales representative can take one of 3 different routes from city b to city d and any one of 7 different routes from city d to city h. how many different routes can she take from city b to city h, going through city d?
there are (square) possible routes.

Explanation:

Step1: Apply the multiplication principle

The multiplication principle states that if there are \(m\) ways to do one thing and \(n\) ways to do another thing, then there are \(m\times n\) ways to do both things. Here, \(m = 3\) (routes from City B to City D) and \(n=7\) (routes from City D to City H).
$$3\times7$$

Step2: Calculate the product

Multiply 3 and 7.
$$3\times7=21$$

Answer:

21