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Question

There are 18 stations between Hyderabad and Bangalore. How many second class ticket have to be printed, so that passenger can travel from one station to any other station?

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Solution

This question is lengthy and little confusing but answer is simpler

The total number of stations = 20
From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.
²⁰P₂ = 20 * 19 = 380.

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