Home
Class 12
MATHS
The number of ways in which 21 objects c...

The number of ways in which 21 objects can be grouped into three groups 8, 7 and 6 object is

A

`(2!)/(8!7!)`

B

`(20!)/(8!+7!+6!)`

C

`(2!)/(8!+7!+6!)`

D

`(21!)/(8!+7!+6!)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

Similar Questions

Explore conceptually related problems

The number of ways in which 19 different objects can be divided into two groups of 13 and 6 is

The number of ways can five people be divided into three groups is

The number of ways in which a 7 people can sit around a round table is

Sixteen players S_(1) , S_(2) , S_(3) ,…, S_(16) play in a tournament. Number of ways in which they can be grouped into eight pairs so that S_(1) and S_(2) are in different groups, is equal to

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

Find the number of ways in which n distinct objects can be kept into two identical boxes so that no box remains empty is

Statement 1: Number of ways in which 30 can be partitioned into three unequal parts, each part being a natural number is 61. Statement 2; Number of ways of distributing 30 identical objects in three different boxes is ^30 C_2dot

The number of ways in which 7 people can sit around a table if two persons take consecutive seats is

Find the total number of way in which n distinct objects can be put into two different boxes

Number of ways in which 6 distinct objects can be kept into two identical boxes so that no box remains empty is

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. A={(x,y,z):x,y,zinNandx+y+z=12}. The number of elements in A is

    Text Solution

    |

  2. A box contains two white balls, three black balls and four balls. In...

    Text Solution

    |

  3. The number of ways in which 21 objects can be grouped into three group...

    Text Solution

    |

  4. The number of ways in which a couple can sit around a table with 6 gue...

    Text Solution

    |

  5. A tea party is arranged for 16 people among two sides of a long table ...

    Text Solution

    |

  6. There are 3 copies each of 4 different books. The number of ways in wh...

    Text Solution

    |

  7. The number of ways in which we can choose two positive integers from 1...

    Text Solution

    |

  8. The number of positive integral solutions of the equation xyz = 30 is

    Text Solution

    |

  9. The total number of ways of selecting 3 balls from a bag containing 7 ...

    Text Solution

    |

  10. If a set of m paralled lines intersect another set of n parallel lines...

    Text Solution

    |

  11. The number of 3 digit number locks having none of their digits repeate...

    Text Solution

    |

  12. m' men and 'n' women are to be seated in a row so that no two women si...

    Text Solution

    |

  13. There are 'n' different books and 'p' copies of each. The number of wa...

    Text Solution

    |

  14. ""^(15)C(0)=

    Text Solution

    |

  15. If ""^(18)C(15)+2(""^(18)C(16))+""^(17)C(16)+1=""^(n)C(3), then n =

    Text Solution

    |

  16. If m=""^(n)C(2),"then """^(m)C(2)=

    Text Solution

    |

  17. The number of arrangements of the letters of the word BHARAT taking 3 ...

    Text Solution

    |

  18. The number of all possible squares in a chess board is

    Text Solution

    |

  19. The number of ways in which 7 persons can address a meeting so that ou...

    Text Solution

    |

  20. The number of ways in which 10 candidates A(1),A(2),A(3),.........,A(1...

    Text Solution

    |