Home
Class 12
MATHS
If a(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) the...

If `a_(n)=sum_(r=0)^(n)(1)/(""^(n)C_(r))` then `sum_(r=0)^(n)(r)/(""^(n)C_(r))` equal to

A

`""^((n-1))a_(0)`

B

`n.a_(n)`

C

`(1)/(2)n.a_(n)`

D

`a_(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-I|60 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

If (1+x)^(n)=sum_(r=0)^(n)""^(n)C_(r )x^(r ) and if sum_(r=0)^(n) (1)/(""^(n)C_(r ))=lambda , then show that sum_(0 leilen) sum_(0 le j len) ((i)/(""^(n)C_(i)) +(j)/(""^(n)C_(j)))=n(n+1)lambda

sum_(r=0)^(n)(P_(r))/(r!) is equal to

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

""^(m)C_(r+1)+ sum_(k=m)^(n)""^(k)C_(r) is equal to :

Lt_(ntooo)sum_(r=1)^(n)(1)/(n)e^(r//pi) is

If sum_(r=1)^(n)Cos^(-1)x_(r)=0," then "sum_(r=1)^(n)x_(r) equals to

Lt_(ntooo)sum_(r=0)^(n-1)(n)/(n^(2)+r^(2))=

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. If ""^(n)C(r-1)=36,""^(n)C(r)=84 and ""^(n)C(r+1)=126, then r is equal...

    Text Solution

    |

  2. The value of 2^(n)n!(1.3.5.....(2n-1)) is

    Text Solution

    |

  3. If a(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) then sum(r=0)^(n)(r)/(""^(n)C(r))...

    Text Solution

    |

  4. ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-3)+""^(n)C(r-4) i...

    Text Solution

    |

  5. The sum sum(i=0)^(m)((10)/(i))((20)/(m-i)) is maximum when m is

    Text Solution

    |

  6. In a football championship there were played 153 matches. Every two te...

    Text Solution

    |

  7. From a group of persons the number of ways of selecting 5 persons is e...

    Text Solution

    |

  8. In a chess tournament where the participants were to play one game wit...

    Text Solution

    |

  9. A teacher takes 3 children from her class to the zoo at a time as ofte...

    Text Solution

    |

  10. From 0 to 9, four digited numbers can be formed such that the digits a...

    Text Solution

    |

  11. The total number of 4 digit numbers in which the digits are in descend...

    Text Solution

    |

  12. There are 12 balls numbered from 1 to 12. The number of ways in which ...

    Text Solution

    |

  13. The number of ways in which we can select four numbers from 1 to 30 so...

    Text Solution

    |

  14. The number of ways in which 4 vowels and 2 consonants be chosen from E...

    Text Solution

    |

  15. The number of ways in which 5 players be chosen from 12 players so as ...

    Text Solution

    |

  16. The number of ways in which a team of eleven players can be selected f...

    Text Solution

    |

  17. Acommittee of 12 members is to formed from 9 women and 8 men ...

    Text Solution

    |

  18. A cricket 11 is to be selected out of 14 players of whom 5 are ...

    Text Solution

    |

  19. The number of ways an international committee of 4 be formed out of 6 ...

    Text Solution

    |

  20. A student has to answer 10 out of 13 questions in an examinatio...

    Text Solution

    |