Question 69

There are five stations on a railway line. What is the number of different journey tickets that are required for railway authorities?

Solution

Given, there are five stations on a railway line

Number of tickets required from one side is obtained by the selection of 2 stations from 5 = $$^5C_2=\frac{5\times4}{1\times2}=10$$

Similarly number of tickets from other side = $$^5C_2=10$$

$$\therefore\ $$Number of different journey tickets that are required for railway authorities = 10 + 10 = 20

Hence, the correct answer is Option D

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