Explanation
Solution
1. Identify the total number of stations:
-
Starting Station: Tata Nagar (1)
-
Intermediate Stoppages: 5
-
Ending Station: Howrah (1)
-
Total stations (n) = 1+5+1=7
2. Understanding the ticket requirement:
A "one-way" ticket is defined by a specific Starting Station and a specific Destination Station.
-
There are 7 possible stations to start from.
-
For any chosen starting station, there are 6 other stations that could be the destination.
3. Calculation using Permutations (nPr):
Since the order of stations matters for a ticket (Station A to Station B is one type of ticket), we use the permutation formula where we select 2 stations out of 7:
Correct Option: (b) 42
