Home
Class 11
MATHS
If P(r) stands for ""^(r)P(r) then the ...

If `P_(r)` stands for `""^(r)P_(r)` then the sum of the series `1+ P_(1 )+ ""2 xxP_(2) + ""3 xxP_(3) + … + ""n xxP_(n)` is:

A

`P_(n+1)`

B

`P_(n+1) -1`

C

`P_(n+1) +1`

D

`""^(n+1)P_(n-1)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|11 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 4.4|14 Videos

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

Similar Questions

Explore conceptually related problems

If P stands for P_(r) then the sum of the series 1 + P_(1) + 2P_(2) + 3P_(3) + …+ nPn is

If ""^(n)P_(r)=110 , then n + r =

If ""^(n)P_(r)=3024 & ""^(n)C_(r)=126 then the value of r =

If ""^(n)P_(r)=720" "^(n)C_(r) , then r is equal to

If ""^(56)P_(r+6):""^(54)P_(r+3)=30800:1 , then the value of r is

Iff ""^(5)P_(r)=""^(6)P_(r-1) find r.

If ""^(10)P_(r)=""^(7)P_(r+2) find r.

PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-EXERCISE 4.5
  1. If .^(n+5) P(n +1) = ((11(n-1))/2) .^(n +3) P(n) then the value of n...

    Text Solution

    |

  2. The product of r consecutive positive integers is divisible by

    Text Solution

    |

  3. The number of five digit telephone numbers having at least one of ...

    Text Solution

    |

  4. If .^(a^(2-a)) C(2) = a^(2-a) C(4) then the value of a is

    Text Solution

    |

  5. There are 10 points in a plane and 4 of them are collinear. The nu...

    Text Solution

    |

  6. The number of ways in which a host lady invite 8 people for a par...

    Text Solution

    |

  7. The number of parallelograms that can be formed from a set of four...

    Text Solution

    |

  8. Everybody in a room shakes hands with everybody else. The total n...

    Text Solution

    |

  9. Number of sides of a polygon having 44 diagonals is

    Text Solution

    |

  10. If 10 lines are drawn in a plane such that no two of them are parallel...

    Text Solution

    |

  11. In a plane are 10 points are there out of which 4 points are coll...

    Text Solution

    |

  12. In .^(2n)C(3) :.^(n)C(3) = 11 : 1 then n is

    Text Solution

    |

  13. .^((n-1)C(r) + ^((n-1)) C((r-1)) is

    Text Solution

    |

  14. The number of ways of choosing 5 cards out of a deck of 52 which ...

    Text Solution

    |

  15. The number of rectangles that a chessboard has

    Text Solution

    |

  16. The number of 10 digit number that can be written by using the digit...

    Text Solution

    |

  17. If P(r) stands for ""^(r)P(r) then the sum of the series 1+ P(1 )+ ""...

    Text Solution

    |

  18. The product of first n odd natural numbers equals:

    Text Solution

    |

  19. If ''C(4),''C(5),''C(6) are in AP then value of n is

    Text Solution

    |

  20. 1 +3 + 5 + 7 + …. 17 is equal to

    Text Solution

    |