A sales representative can take one of 3 different routes from City \( B \) to City \( E \) and any one of 7 different routes from City E to City M . How many different routes can she take from City B to City M , going through City E ? There are \( \square \) possible routes.

To calculate the total number of different routes the sales representative can take from City B to City M via City E, we multiply the number of routes from City B to City E by the number of routes from City E to City M. The sales representative has 3 options to get from City B to City E and 7 options to get from City E to City M. Therefore, the total number of routes is: \[ 3 \text{ routes (B to E)} \times 7 \text{ routes (E to M)} = 21 \text{ possible routes}. \] So, there are \( 21 \) possible routes.