Home
Class 12
MATHS
The number of ways of distributing 8 ide...

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

A

`8 C_(3)`

B

21

C

`3^(x)`

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ""^(9)C_(3) . Statement-2: The number of ways of choosing any 3 places from 9 different places is ""^(9)C_(3) .

If number of ways in which 7 identical balls can be distributed into 4 boxes, so that no box remains empty is 4lamda , the value of lamda is

The number of ways in which n distinct balls can be put into three boxes so that no two boxes remain empty is

The number of ways of distributing 15 identical toys among 6 children so that each one gets atleast one toy, is

If number of ways in which 7 different balls can be distributed into 4 boxes, so that no box remains empty is 48 lamda , the value of lamda is

A box contains two white balls, three black balls and four red balls. The number of ways in which three balls can be drawn from the box so that least one of the balls is black is :

If number of ways in which 7 different balls can be distributed into 4 different boxes, so that no box remains empty is 100lamda , the value of lamda is

The number of ways in which 5 identical balls can be kept in 10 identical boxes, if not more, than one can go into a box, is

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

If 12 indentical balls are to be placed in 3 identical boxes , then the probability that one of the boxes contains exactly 3 balls is :

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  2. The number of ways in which 6 mean and 5 women can dine at a round tab...

    Text Solution

    |

  3. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |

  4. How many ways are there to arrange the letters in the word ' GARDEN ' ...

    Text Solution

    |

  5. If the letters of the word ' SACHIN ' are arranged in all possible way...

    Text Solution

    |

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

    Text Solution

    |

  7. The set S={1,2,3,…, 12} is to be partioned into three sets A,B, C of e...

    Text Solution

    |

  8. How many different words can be formed by jumbling the letters of word...

    Text Solution

    |

  9. From 6 different novels and 3 different dictionaries , 4 novels 1 dict...

    Text Solution

    |

  10. There are two urns. UrnA has. 3 distinct red balls and urn B has 9 dis...

    Text Solution

    |

  11. The number of straight lines can be formed through any two points out ...

    Text Solution

    |

  12. The total number of arrangements of the letters in the expansion a^3b^...

    Text Solution

    |

  13. A lady gives a dinner party to 5 guests to be selected from nine frien...

    Text Solution

    |

  14. The number of ways of selecting 10 balls from unlimited number of red,...

    Text Solution

    |

  15. Ten different letters of an alphabet are given . Words with five lette...

    Text Solution

    |

  16. If n ge r then r C(r)+(r+1) C(r)+(r+2) C(r)+.. ..+n C(r)=

    Text Solution

    |

  17. A convex polygon has 44 diagonals. Find the number of sides.

    Text Solution

    |

  18. There are 'n' seats round a table numbered 1,2, 3,….,n. The number of...

    Text Solution

    |

  19. A rectangle with sides of lengths (2 n-1) and (2 m-1) units is divided...

    Text Solution

    |

  20. A set contains (2 n+1) elements. The number of subsets of this set con...

    Text Solution

    |