Question

How many different kinds of return tickets must be prepared for a railway line with 16 stations.​

Answer 1

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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