There are $15$ stations on a Railways line. for this how many different tickets of a class should be printed such that any person from any station can buy the ticket of other station of this line ?

Open in App

Solution

Total numbers of station = $15$
A person buys a ticket on a station then we can buy tickets of the remaining $14$ stations
Hence a total number of method of printing $14$ tickets out of $15$ tickets.
$=^{15} P_{14} = \frac{15!}{14!} = \frac{15 \times 14!}{14!}$
$= 15$
One ticket can be printed in $2$ ways in this way total $14$ tickets will be printed .
hence the total number of ways tickets be printed for $15$ stations are $= 15 \times 14 = 210$

Suggest Corrections

Similar questions

Q. There are

15

stations on a Railway line. How many tickets of different station should be printed so that a passenger can buy a ticket of any station from another?

There are $15$ stations on a certain railway line. How many different types of tickets must be printed so that a passenger can travel from one station to another in that line $?$

Q. There are

18

stations between Hyderabad and Vijayawada. How many second class tickets have to be printed so that a passenger can travel from any station to any other station.

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?

Q. There are 10 railway stations between a station x and another station y.

Find the number of different tickets that must be printed so as to enable a passenger to travel from any one station to any other.

Join BYJU'S Learning Program

There are 15 stations on a Railways line. for this how many different tickets of a class should be printed such that any person from any station can buy the ticket of other station of this line ?

There are $15$ stations on a Railways line. for this how many different tickets of a class should be printed such that any person from any station can buy the ticket of other station of this line ?