A person wants to go from station A to station C via station b. There are three routes from A to B four routes from B to C. In how many ways can he travel from A to C?
Text Solution
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The correct Answer is:
To solve the problem of how many ways a person can travel from station A to station C via station B, we can break it down step by step.
### Step-by-Step Solution:
1. **Identify the Routes**:
- There are **3 routes** from station A to station B.
- There are **4 routes** from station B to station C.
2. **Calculate Total Routes**:
- To find the total number of ways to travel from A to C via B, we need to multiply the number of routes from A to B by the number of routes from B to C.
- This is because for each route from A to B, there are multiple options to go from B to C.
3. **Perform the Calculation**:
- Total ways = (Number of routes from A to B) × (Number of routes from B to C)
- Total ways = 3 × 4 = 12
4. **Conclusion**:
- Therefore, the total number of ways the person can travel from station A to station C via station B is **12**.
### Final Answer:
The total number of ways to travel from A to C is **12**.
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FIITJEE-PERMUTATIONS & COMBINATIONS-NUMERICAL BASED
