Home
Class 12
MATHS
On a railway there are 20 stations. The ...

On a railway there are 20 stations. The number of different tickets required in order that it may be possible to travel from every station to every station is

A

210

B

225

C

196

D

105

Text Solution

Verified by Experts

The correct Answer is:
A

Number of different tickets
=20+19+18+17+ . . .+3+2+1=210
Promotional Banner

Similar Questions

Explore conceptually related problems

A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from station A to station B costs Rs. 2530. Also, one reserved first class ticket and one reserved first class half ticket from station A to station B costs Rs. 3810. Find the full first class fare from station A to station B and also the reservation charges for a ticket.

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangaluru (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.

There are three stations A,B and C five routes for going from station A to station B and four routes for going from station B to station C. find number of different ways through which a person can go from A to C via B.

There are p intermediate stations on a railway line from one terminus to another . In how many ways a train can stop at 3 of these intermediate stations if no two of those stopping stations are to be consecutive ?

A signal which can be green or red with probability 4/5 and 1/5 respectively, is received by station A and then and 3 transmitted to station B. The probability of each station receiving the signal correctly is 3/4 If the signal received at station B is green, then the probability that the original signal was green is (a) 3/5 (b) 6/7 (d) 20/23 (d) 9/20

Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster than the second train. If after two hours they are 50 km. apart, find the average speed of each train.

A box contains tickets numbered 1 to 20.3 tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7, is

Every year new species have been dicovered. In the nature, the discovery of new species is possible from :-

A train standing at the outer signal of a railway station blows a whistle of frequency 400Hz in still air. (i) What is the frequency of the whistle for a platform observer when the train (a) approaches the platform with a speed of 10 ms^(-1) . (b) recedes from the platform with a speed of 10ms^(-1) ? (ii) What is the speed of sound in each case? The speed of sound in still air can be taken as 340ms^(-1) .

As shown in figure waves with identical wavelengths and amplitudes and which are intially in phase travel through difference media. Ray 1 travels through air and Ray 2 through a transparent medium for equal length L, in four different situations. Rays reach a common point on the screen. The number of wavelengths in length L is N_(2) for Ray 2 and N_(1) for Ray 1. In the following table, values of N_(1) and N_(2) are given for all four situations. The order or the situations according to the intensity of the light at the common point in descending order is Situations 1 2 3 4 N_(1) 2.75 1.80 3.00 3.25 N_(2) 2.75 2.80 3.25 4.00