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.

Question

UpStudy AI · Accepted Answer

### Step 1: Identify the number of routes for each segment

- There are $$3$$ different routes from City $$B$$ to City $$E$$.
- There are $$7$$ different routes from City $$E$$ to City $$M$$.

### Step 2: Apply the Multiplication Principle

Since the routes from City $$B$$ to City $$E$$ can be combined with the routes from City $$E$$ to City $$M$$, the total number of different routes is:
$$
3 \times 7
$$

### Step 3: Calculate the Total Number of Routes

$$
3 \times 7 = 21
$$

### Final Answer

There are $$21$$ possible routes.
There are 21 possible routes.

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.

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