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.
Text Solution
AI Generated Solution
The correct Answer is:
To solve the problem of how many ways a person can leave station B, we can break it down into the following steps:
### Step 1: Identify the routes
The problem states that there are:
- 3 routes from station B to station A
- 4 routes from station B to station C
### Step 2: Calculate the total number of ways to leave station B
To find the total number of ways the person can leave station B, we need to consider both options (going to A and going to C). Since these two options are mutually exclusive (the person can only choose one route at a time), we can add the number of routes available for each destination.
- Number of ways to go from B to A = 3
- Number of ways to go from B to C = 4
Now, we add these two numbers together:
\[
\text{Total ways} = \text{Ways to A} + \text{Ways to C} = 3 + 4 = 7
\]
### Conclusion
Thus, the total number of ways the person can leave station B is **7 ways**.
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FIITJEE-PERMUTATIONS & COMBINATIONS-NUMERICAL BASED
