Home
Class 12
MATHS
The number of ways in which 10 candidate...

The number of ways in which 10 candidates `A_(1),A_(2),A_(3),.........,A_(10)` can be ranked so that `A_(1)` is always above `A_(10)` is

A

5!

B

2(5!)

C

10!

D

`1/2(10!)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If A_(1), A_(2),..,A_(n) are any n events, then

Let theta=(a_(1),a_(2),a_(3),...,a_(n)) be a given arrangement of n distinct objects a_(1),a_(2),a_(3),…,a_(n) . A derangement of theta is an arrangment of these n objects in which none of the objects occupies its original position. Let D_(n) be the number of derangements of the permutations theta . 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

Let theta=(a_(1),a_(2),a_(3),...,a_(n)) be a given arrangement of n distinct objects a_(1),a_(2),a_(3),…,a_(n) . A derangement of theta is an arrangment of these n objects in which none of the objects occupies its original position. Let D_(n) be the number of derangements of the permutations theta . The relation between D_(n) and D_(n-1) is given by

Let theta=(a_(1),a_(2),a_(3),...,a_(n)) be a given arrangement of n distinct objects a_(1),a_(2),a_(3),…,a_(n) . A derangement of theta is an arrangment of these n objects in which none of the objects occupies its original position. Let D_(n) be the number of derangements of the permutations theta . D_(n) is equal to

The number of increasing function from f : AtoB where A in {a_(1),a_(2),a_(3),a_(4),a_(5),a_(6)} , B in {1,2,3,….,9} such that a_(i+1) gt a_(i) AA I in N and a_(i) ne i is

If A=[[a_(11),a_(12)],[a_(21),a_(22)]] is non - singular, find A^(-1) .

If the sequence a_(1),a_(2),a_(3) ,…….. Is an A.P., then the sequence a_(5), a_(10), a_(15) ,…….. Is ………..

Let a_(1), a_(2) ...be positive real numbers in geometric progression. For n, if A_(n), G_(n), H_(n) are respectively the arithmetic mean, geometric mean and harmonic mean of a_(1), a_(2),..., a_(n) . Then, find an expression for the geometric mean of G_(1), G_(2),...,G_(n) in terms of A_(1), A_(2),...,A_(n), H_(1), H_(2),..., H_(n)

Find seven numbers A_(1), A_(2),……A_(7) so that the sequence 4, A_(1), A_(2), ……..,A_(7),7 is in arithmetic progression and also 4 numbers G_(1), G_(2), G_(3), G_(4) so that the sequence 12, G_(1), G_(2), G_(3), G_(4), (3)/(8) is in geometric progression.

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. There are 3 copies each of 4 different books. The number of ways in wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The number of ways in which 11 denoted pencils can be distributed amon...

    Text Solution

    |

  17. The sides BC, CA, AB of a triangle ABC have 3, 4 and 5 interior points...

    Text Solution

    |

  18. If ""^(n)P(r)=3024 & ""^(n)C(r)=126 then the value of r =

    Text Solution

    |

  19. Let T(n) denote the number of triangles which can be formed by using t...

    Text Solution

    |

  20. The sum of all 4 digit numbers of different digits formed with the dig...

    Text Solution

    |