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A person wants to leave station B. There...

A person wants to leave station B. There are three routes from station B to A and four routes from B to c. In how many ways can he leave the station B.

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To solve the problem, we need to determine the total number of ways a person can leave station B, given the routes available to two different stations, A and C. ### Step-by-Step Solution: 1. **Identify the Routes:** - The problem states that there are 3 routes from station B to station A. - Additionally, there are 4 routes from station B to station C. 2. **Calculate the Total Ways to Leave:** - Since the person can choose to go to either station A or station C, we will add the number of routes to each station. - The total number of ways to leave station B is given by the sum of the routes to A and C: \[ \text{Total Ways} = \text{Ways to A} + \text{Ways to C} \] 3. **Substituting the Values:** - Substitute the given values into the equation: \[ \text{Total Ways} = 3 + 4 \] 4. **Perform the Addition:** - Now, perform the addition: \[ \text{Total Ways} = 7 \] 5. **Conclusion:** - Therefore, the total number of ways the person can leave station B is 7. ### Final Answer: The person can leave station B in **7 ways**.
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