Home
Class 12
MATHS
In how many ways can 9 different books b...

In how many ways can 9 different books be distributed among three students if each receives atleast 2 books?

Text Solution

Verified by Experts

The required number of ways `=(1)/(3!)(3^(5)-.^(3)C_(1)*2^(5)+.^(3)C_(2)*1^(5))`
`=(150)/(6)=25`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Single Matching Type Questions|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

In how any ways can 8 different books be distributed among 3 students if each receives at least 2 books?

In how many ways can 18 different books be divided equally among three students ?

In how many ways 12 different books can be distributed equally among 3 persons?

In how many ways can 4 prizes be distributed among 5 students, if no student gets all the prizes?

In how many ways can 8 students be seated in : a line ?

In how many ways can a tissue grow in size?

In how many ways can 15 identical blankets be distributed among six beggars such that everyone gets at least one blanket and two particular beggars get equal blankets and another three particular beggars get equal blankets.

In how many ways can six different rings be worn on the four fingers of one hand ?

In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty?

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In how many ways can 9 different books be distributed among three stud...

    Text Solution

    |

  2. There is a rectangular sheet of dimension (2m-1)xx(2n-1), (where m > 0...

    Text Solution

    |

  3. If the letters of the word SACHIN are arranged in all possible ways ...

    Text Solution

    |

  4. lf r, s, t are prime numbers and p, q are the positive integers such t...

    Text Solution

    |

  5. At an election, a voter may vote for any number of candidates not grea...

    Text Solution

    |

  6. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  7. The set S""=""{1,""2,""3,""........ ,""12) is to be partitioned into...

    Text Solution

    |

  8. Consider all possible permutations of the letters of the word ENDEANOE...

    Text Solution

    |

  9. The number of words can be formed with the letters of the word 'MATHEM...

    Text Solution

    |

  10. In a shop, there are five types of ice-creams available. A child buys ...

    Text Solution

    |

  11. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  12. Three boys and two girls stand in a queue. The probability that the nu...

    Text Solution

    |

  13. There are two urns. Urn A has 3 distinct red balls and urn B has 9 ...

    Text Solution

    |

  14. In how many ways 5 different balls can be distributed into 3 boxes so ...

    Text Solution

    |

  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

    Text Solution

    |

  16. The total number of ways in which 5 balls of differert colours can be ...

    Text Solution

    |

  17. Let n denote the number of all n-digit positive integers formed by the...

    Text Solution

    |

  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  19. Assuming the balls to be identical except for difference in colours, t...

    Text Solution

    |

  20. Let Tn be the number of all possible triangles formed by joining ve...

    Text Solution

    |

  21. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |