Home
Class 12
MATHS
9 balls are to placed in 9 boxes : ...

9 balls are to placed in 9 boxes : and 5 of the balls cannot fit into 3 small boxes the number of ways of arranging one ball in each of the boxes is

A

`""^(6)P_(5).4!`

B

`""^(6)P_(5).3!`

C

`6!3!2!`

D

`5!3!`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-I|60 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

The number of ways in which 10 letters can be posted in 5 letter boxes is

3 letters are to be posted in 5 letter boxes in a part of the town .IF all letters are not posted in the same letter box . The number of ways of posting is

Five balls are placed in three boxes. Each box can hold all the five balls. In how many different ways can we place the balls in the boxes so that no box remains empty if the balls as the boxes are identical.

Five balls are placed in three boxes. Each box can hold all the five balls. In how many different ways can we place the balls in the boxes so that no box remains empty if the balls and the boxes are different

Five balls are placed in three boxes. Each box can hold all the five balls. In how many different ways can we place the balls in the boxes so that no box remains empty if the balls are identical but the boxes are different

The number of ways of distributing 8 indentical balls in 3 distinct boxes so that none of the boxes empty is

There are 5 different coloured balls and 5 boxes of the same colour as that of balls the number of ways that exactly two balls will go to its same coloured boxes is

There are four balls of different colours and four boxes of colours , same as those of the balls . The number of ways in which the balls , one each in a box could be placed such that a ball does not go to a box of its own colour is

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. s(1),s(2) ...............,s(10) are the speakers in a conference, If s...

    Text Solution

    |

  2. The letters of the word 'HEXAGON' are arranged in all possible ways. I...

    Text Solution

    |

  3. 9 balls are to placed in 9 boxes : and 5 of the balls cannot ...

    Text Solution

    |

  4. The number of odd numbers having 4 digits can be formed from

    Text Solution

    |

  5. Total number of four digit odd numbers that can be formed using 0, 1, ...

    Text Solution

    |

  6. The number of four digit even numbers that can be formed from 0,1,2,3,...

    Text Solution

    |

  7. The number of positive integers which can be formed by any number of d...

    Text Solution

    |

  8. The number of natural numbers less than 1000, in which no two dig...

    Text Solution

    |

  9. The number of 5-digited numbers which are not divisible by 5 and which...

    Text Solution

    |

  10. The number of four-digit numbers formed by using the digits 0,2,4,5 an...

    Text Solution

    |

  11. The number of four digited numbers formed by 1, 2, 5, 6, 7 divisible b...

    Text Solution

    |

  12. The number of four digited numbers formed by 2, 4, 5, 7, 8 divisible b...

    Text Solution

    |

  13. Five digit numbers divisible by 3 is formed using 0, 1, 2, 3, 4 and 5 ...

    Text Solution

    |

  14. The number of 5 digited numbers that can be formed using the digits 0...

    Text Solution

    |

  15. 5 digit number divisible by 9 are to be formed by using the digits 0, ...

    Text Solution

    |

  16. Number of numbers greater than 24000 can be formed by using digits 1, ...

    Text Solution

    |

  17. A letter lock consists of three rings each marked with 10 different le...

    Text Solution

    |

  18. The number of four digits telephone numbers having atleast one ...

    Text Solution

    |

  19. The number of quadratic expressions with the coefficients drawn ...

    Text Solution

    |

  20. Number of diffferent matrices that can be formed with elements 0, 1, 2...

    Text Solution

    |