Home
Class 12
MATHS
The number of permutation of n different...

The number of permutation of n different objects, taken r at a line, when repetitions are allowed, is …….. .

A

`k^(n)`

B

`n^(k)`

C

`n!`

D

`""^(n)P_(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section C Objective type questions (One option is correct )|17 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|65 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

Assertion: The number of different number plates which can be made if the number plte contain three letters of the English alphabet followied by athree digit number is (26)^3xx(900) (if represents are allowed) Reason: The number of permutationis of n different things taken r at time when repetitios are allowed is n^r . (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

The number of permutations of n different things taking r at a time when 3 particular things are to be included is a. \ ^(n-3)P_(r-3) b. \ ^(n-3)P_r c. \ ^n P_(r-3) d. \ r !^(n-3)C_(r-3)

Prove that the no. of all permutations of n different objects taken r at a time when a particular object is to be always included in each arrangement is r.(n-1)P_(r-1)

Prove that the no. of permutations of n different objects taken r at a time in which two specified objects always occur together 2!(r-1) (n-2)P_(r-2)

Find the number of permutations of n different things taken r at a time such that two specific things occur together?

Find the total number of permutations of n different things taken not more than r at a time, when each thing may be repeated any number of times.

Show that the total number of permutations of n different things taken not more than r at a time, when each thing may be repated any number of times is (n(n^(r)-1))/((n-1)) .

The number of permutations of n things taken r at a time if 3 particular things always occur is

There are 4n things of which n are alike and the rest different. Find the number of permutations of 4n things taken 2n at a time, each permutation containing the n like things.

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182b c , find the value of xdot

AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Assignment Section A Objective type questions (One option is correct )
  1. In how many ways 7 members forming a committee out of 11 be selected s...

    Text Solution

    |

  2. ""^(15)C(9)-""^(15)C(6)+""^(15)C(7)-^(15)C(8) equals to

    Text Solution

    |

  3. The number of permutation of n different objects, taken r at a line, w...

    Text Solution

    |

  4. The number of words which can be formed out of the letters of the word...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The number of ways in which three girls and ten boys can be seated in ...

    Text Solution

    |

  7. IN a meeting everyone had shaken hands with everyone else, it was foun...

    Text Solution

    |

  8. Number of different striaght lines that cn be formed by joining 12 dif...

    Text Solution

    |

  9. A polygon has 90 diagonals , number of its sides is

    Text Solution

    |

  10. Number of triangles that can be formed by joining the 10 non-collinear...

    Text Solution

    |

  11. Number of different words that can be formed from 15 consonants and 5 ...

    Text Solution

    |

  12. A box contains 7 red , 6 white and 4 blue balls. Number of ways of sel...

    Text Solution

    |

  13. In a test paper there are 10 questions . Number of ways in which 6 que...

    Text Solution

    |

  14. How many four digit natural numbers not exceeding 4321 can be formed ...

    Text Solution

    |

  15. Number of ways in which the letters of the word MOBILE be arranged so ...

    Text Solution

    |

  16. Number of ways in which the letters of the word RAINBOW be arranged su...

    Text Solution

    |

  17. Number of even numbes greater than 300 that can be formed with the dig...

    Text Solution

    |

  18. There are 6 books of physics , 3 of chemistry and 4 of biology . Numbe...

    Text Solution

    |

  19. A person has 5 shirts, 4 coat and 7 ties . Number of ways in which he ...

    Text Solution

    |

  20. Number of ways in which 15 different books can be arraged on a shelf s...

    Text Solution

    |