Home
Class 11
MATHS
Fifteen identical balls have to be put i...

Fifteen identical balls have to be put in five different boxes. Each box can contain any number of balls. The total number of ways of putting the balls into the boxes so that each box contains at least two balls is equal to a. `.^9C_5` b. `.^10 C_5` c. `.^6C_5` d. `.^10 C_6`

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The total number of ways in which 5 balls of different colours can be distributed among 3 persons, so that each person gets atleast one ball is

There are 5 different colour balls and 5 boxes of colours same as those of the balls. The number of ways in which one can place the balls into the boxes, one each in a box, so that no ball goes to a box of its own colour is

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

The number of ways in which 6 different balls can be put in two boxes of different sizes so that no box remain empty is :

A box contains 5 different res and 6, different whit balls. In how many ways can 6 balls be selected so that there are at least two balls off each color?

Five balls of different color are to be placed in three boxes of different size. Each box can hold all five. In how many different ways can we place the balls so that no box remains empty?

There are four balls of different colours and four boxes of colours same as those of the balls. Find the number of way in which the balls ,one in each box,of its own colour.

There are 4 balls of different colours and four boxes of colours same as these of the balls the number of ways in which the balls one in each box would be placed such that a ball does not go to a box of its own colour is

There are two bags each of which contains n balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag is^(2n)C_n-1.

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

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. If n objects are arrange in a row, then the number of ways of sele...

    Text Solution

    |

  2. In how many ways can a party of 6 men be selected out of 10 Hindus, 8 ...

    Text Solution

    |

  3. Fifteen identical balls have to be put in five different boxes. Eac...

    Text Solution

    |

  4. Find the total number of positive integral solutions for (x ,y ,z) suc...

    Text Solution

    |

  5. In how many different ways can the first 12 natural numbers be divi...

    Text Solution

    |

  6. Find the number of non-negative integral solutions of equation x+y+z+2...

    Text Solution

    |

  7. The number of ways in which we can get a score of 11 by throwing th...

    Text Solution

    |

  8. Find the number of non-negative integral solutions of x+y+z+wlt=20.

    Text Solution

    |

  9. The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 ...

    Text Solution

    |

  10. Find the number of non-negative integral solutions of the equation x+y...

    Text Solution

    |

  11. If m parallel lines in a plane are intersected by a family of n para...

    Text Solution

    |

  12. Find the number of positive integral solutions of the equation x+y+z=1...

    Text Solution

    |

  13. The maximum number of points of intersection of five lines and four ci...

    Text Solution

    |

  14. Find the number of ways in which n different prizes can be distribute...

    Text Solution

    |

  15. There are three coplanar parallel lines. If any p points are taken ...

    Text Solution

    |

  16. How many ways n distinct objects be placed in 2 different boxes so tha...

    Text Solution

    |

  17. Two packs of 52 cards are shuffled together. The number of ways in w...

    Text Solution

    |

  18. Find the number of positive integral solutions of x y z=21600.

    Text Solution

    |

  19. A student is allowed to select at most n books from a collection of (2...

    Text Solution

    |

  20. Find the number of positive integral solutions satisfying the equation...

    Text Solution

    |