Home
Class 12
MATHS
There are 100 stations between two stati...

There are 100 stations between two stations A and B. A train is to stop at ten of these 100 stations. What is the probability that no two of these ten stations are consecutive.

Text Solution

Verified by Experts

The correct Answer is:
`(.^(91)C_(10))/(.^(100)C_(10))`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.1(very short answer)|15 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.1(short answer type question)|5 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Solved Example|45 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

Similar Questions

Explore conceptually related problems

There are 10 stations between two cities A and B . A train is to stop at three pf tjese 10 stations . The probability that no two of these three stations are consecutive is

There are 8 stations between two cities A and B. A train is to stop at three of these 8 stations. The probability that no two of these three stations are consecutive is

There are 10 stations on a railway. A train has to stop at three of these stations. The probability that no two of them are consecutive is

From first 100 natural numbers five are selected at random. Find the probability that no two of them are consecutive

There are 12 intermediate stations on a railyway line . The number of ways that a train can be made to stop at 4 of these intermediate stations no two of these halting stations being consecutive

There are 14 intermediate railway stations between Vijayawada and Hyderabad. In how many ways can a train be stopped at 3 of these stations such that no two of them are consecutive?

AAKASH SERIES-PROBABILITY-Additional Solved Example
  1. Two squares are chosen at random from the small squares on a chess boa...

    Text Solution

    |

  2. If p and q are chosen at random from the set {1,2,3,4,5,6,7,8,9,10} wi...

    Text Solution

    |

  3. There are 100 stations between two stations A and B. A train is to sto...

    Text Solution

    |

  4. From a heap containing 10 pairs of shoes 6 shoes are selected at rando...

    Text Solution

    |

  5. (i) Twelve balls are distributed at random among three boxes what is t...

    Text Solution

    |

  6. Out of 3n consecutive integers, three are selected at random. Show tha...

    Text Solution

    |

  7. Two numbers X and Y are chosen at random from the set {1,2,……3n} . Fin...

    Text Solution

    |

  8. If three dice are rolled. Find the probability of getting sum 16 or ge...

    Text Solution

    |

  9. A number is chosen from the first 100 natural numbers. Find the probab...

    Text Solution

    |

  10. A box contains 2 red, 3 blue and 4 black balls. Three balls are drawn ...

    Text Solution

    |

  11. A contractor submitted tenders for 2 works. If 0.4,0.6,0.1 are the res...

    Text Solution

    |

  12. If A,B and C are mutually exclusive and exhaustive events such that P(...

    Text Solution

    |

  13. A die is loaded so that six turns up twice as often as one and three t...

    Text Solution

    |

  14. A couple has two children. Find the probability that both are male if ...

    Text Solution

    |

  15. Two dice are thrown. Find the conditional probability that two fives o...

    Text Solution

    |

  16. A pair of dice is thrown . Find the probability that the sum is 10 or ...

    Text Solution

    |

  17. A die is thrown 3 times. Find the probability of the event of getting ...

    Text Solution

    |

  18. A box contains 5 black, 4 white and 6 red balls. Two balls are drawn o...

    Text Solution

    |

  19. A box contains 19 screws, 3 of which are defective, Two screws are dra...

    Text Solution

    |

  20. A box contains 5 red balls , 6 green balls and 7 white balls. If three...

    Text Solution

    |