There are 10 stations on Konkan Railway Line that connects Mumbai and Manglore at the two ends of it. How many different kinds of tickets of second class must be printed in order to enable a passenger buy a ticket so that he can travel from one station to any other station?

Options

A. 90
B. 45
C. 135
D. 100

Answer

To solve the problem of how many different kinds of second-class tickets must be printed for the Konkan Railway Line connecting Mumbai and Mangalore with 10 stations, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Stations**:
There are 10 stations on the Konkan Railway Line.

2. **Understanding the Ticketing Requirement**:
A passenger can travel from any station to any other station. This means if a passenger is at station A, they can buy a ticket to travel to any of the other 9 stations (B, C, D, etc.).

3. **Calculate the Number of Possible Ticket Combinations**:
For each station, a passenger can choose any of the other 9 stations as their destination. Therefore, for each of the 10 stations, there are 9 possible destinations.

4. **Total Ticket Combinations**:
Since each of the 10 stations can serve as a starting point and each has 9 possible destinations, the total number of unique tickets is calculated as:
\[ \text{Total Tickets} = 10 \times 9 = 90 \]

5. **Conclusion**:
Therefore, the total number of different kinds of second-class tickets that must be printed is **90**.

### Final Answer:
The required number of tickets is **90**.

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