How many different kinds of return tickets must be prepared for a railway line with 16 stations.
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Given : a railway line with 16 stations.
To find : How many different kinds of return tickets must be prepared
Solution:
Total Stations = 16
A return ticket will be between two stations
For a return ticket to be prepared we need 2 stations
and order of station does not matter as its a return ticket
Hence number of ways tickets can be prepared = ¹⁶C₂
= 16!/14!.2!
= 16 * 15 / 2
= 8 * 15
= 120
120 return tickets must be prepared for a railway line with 16 stations.
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