Home
Class 12
MATHS
There are 6 trains running between New D...

There are 6 trains running between New Delhi and Darbhanga. In how many ways can a man go from New Delhi to Darbhanga and return by a different trains?

Text Solution

Verified by Experts

A man can go from New Delhi to Durbhanga in 6 ways by any one of the 6 trains available . Then he can return from Darbhanga to New Delhi in 5 ways by the remaining 5 trains, since he cannot return by the same train by which he goes to Darbhanga from New Delhi.
Thus the required number of ways =`6xx5=30`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|65 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

There are 10 buses running between two towns X and Y. In how many ways can a mango from X to Y and return by a different bus ?

A hall has 12 gates. In how many ways can a man enter the hall through one gate and come out through a different gate?

From Panipat to Delhi there are 10 buses. In how may ways can Pooja go from Delhi to Panipat and return on a same day by a different bus after attending a function ?

From Goa to Mumbai there are 5 flights . In how many ways can Suresh go from Goa to Mumbai and return by a different flight ?

A hall has 10 gates. In how many ways can a man enter the hall through one gate and come out through a different gate ?

There are five routes for a journey from stations . A to B . In how many different ways can a man go from A to B and return , if for returning. any of the routes is taken

There are five routes for a journey from stations . A to B . In how many different ways can a man go from A to B and return , if for returning. the same route is not taken?

There are five routes for a journey from stations . A to B . In how many different ways can a man go from A to B and return , if for returning. the same route is taken

A room has 6 doors. In how many ways can a man enter the room through one door and come out through a different door?

If there are 20 buses playing between places A and B, in how many ways can a round trip from A be made if the return journey was made on: i. the same bus, ii. a different bus.