# A car driver knows four different routes from Delhi to Amritsar. From Amritsar to Pathankot, he knows three different routes and from Pathankot to Jammu he knows two different routes. How many routes does he know from Delhi to Jammu?

Last updated date: 17th Mar 2023

•

Total views: 307.8k

•

Views today: 3.87k

Answer

Verified

307.8k+ views

Hint- Here, we will be proceeding by multiplying all the routes to obtain the total number of routes in between the final source and final destination.

According to the given problem, a car driver can reach Amritsar from Delhi through four different routes and that car driver can reach Pathankot from Amritsar through three different routes which means that the car driver can reach Pathankot from Delhi in total $4 \times 3 = 12$ ways. It is also given that the car driver can reach Jammu from Pathankot through two different routes.

Hence, the total number of routes or ways in which he can reach Jammu from Delhi are $4 \times 3 \times 2 = 24$ ways.

Therefore, the car driver knows a total of 24 routes from Delhi to Jammu.

Note- In these types of problems in order to obtain the total number of routes between any two final stations, the number of routes between all the substations are multiplied with each other.

According to the given problem, a car driver can reach Amritsar from Delhi through four different routes and that car driver can reach Pathankot from Amritsar through three different routes which means that the car driver can reach Pathankot from Delhi in total $4 \times 3 = 12$ ways. It is also given that the car driver can reach Jammu from Pathankot through two different routes.

Hence, the total number of routes or ways in which he can reach Jammu from Delhi are $4 \times 3 \times 2 = 24$ ways.

Therefore, the car driver knows a total of 24 routes from Delhi to Jammu.

Note- In these types of problems in order to obtain the total number of routes between any two final stations, the number of routes between all the substations are multiplied with each other.

Recently Updated Pages

Calculate the entropy change involved in the conversion class 11 chemistry JEE_Main

The law formulated by Dr Nernst is A First law of thermodynamics class 11 chemistry JEE_Main

For the reaction at rm0rm0rmC and normal pressure A class 11 chemistry JEE_Main

An engine operating between rm15rm0rm0rmCand rm2rm5rm0rmC class 11 chemistry JEE_Main

For the reaction rm2Clg to rmCrmlrm2rmg the signs of class 11 chemistry JEE_Main

The enthalpy change for the transition of liquid water class 11 chemistry JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Write a letter to the Principal of your school to plead class 10 english CBSE