Home
Class 12
MATHS
There are 10 stations enroute. A train h...

There are 10 stations enroute. A train has to be stopped at 3 of them. Let N be the no of ways is which the train can be stopped if atleast two of the stopping stations are consecutive. Find N.

Text Solution

Verified by Experts

The correct Answer is:
64
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-1 (Part-II RMO)|11 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-I: Previous Asked Question for Pre RMO)|17 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Self practice problems|30 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise High Level Problems (HLP)|35 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

Similar Questions

Explore conceptually related problems

There are 10 stations enroute. A train has to be stopped at 3 of them. Let N be the ways in which the train can be stopped if atleast two of the stopping stations are consecutive. Find the value of sqrt(N) .

Between two junction stations A and B there are 12 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive, is

There are n stations between two cities A and B. A train is to stop at three of these n stations. What is the probaility that no two of these three stations are consecutive ?

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

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 ?

Let N denote the number of ways in which n boys can be arranged in a line so that 3 particular boys are seperated then N is equal to

There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated.

Find the total number of ways in which n distinct objects can be put into two different boxes.

Find the total number of ways in which n distinct objects can be put into two different boxes.

Find the number of ways in which n distinct objects can be kept into two identical boxes o that n box remains empty.