Home
Class 11
MATHS
The value of sum(r=0)^(n-1) (""^nCr)/(""...

The value of `sum_(r=0)^(n-1) (""^nC_r)/(""^nC_r+ ""^n C_(r+1))` equals
a. `n+1`
b. `n/2`
c. `n+2`
d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The value of sum_(r=0)^(3n-1)(-1)^r .^(6n)C_(2r+1)3^r is

The value of sum_(r=1)^(n) (-1)^(r+1)(""^(n)C_(r))/(r+1) is equal to

Find the sum of sum_(r=1)^n r* (nC_r)/(nC_(r-1)

Find the sum sum_(r=1)^n r^n (^nC_r)/(^nC_(r-1)) .

Find the sum sum_(r=1)^(n) r^(2) (""^(n)C_(r))/(""^(n)C_(r-1)) .

Prove that sum_(r=0)^(2n) r.(""^(2n)C_(r))^(2)= 2n.""^(4n-1)C_(2n-1) .

Prove that sum_(r=0)^(2n)(r. ^(2n)C_r)^2=n^(4n)C_(2n) .

.^(n-1)C_(r)+^(n-1)C_(r-1)=

Find the sum_(r =0)^(r) ""^(n_(1))C_((r-i))""^(n_(2))C_(i) .

The value of sum_(r=1)^(n+1)(sum_(k=1)^n ^kC_(r-1)) (where r, k, n in N ) is equal to

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. The number of n digit numbers which consists of the digit 1 and 2 on...

    Text Solution

    |

  2. If ""^n C3+ ""^n C4 > ""^(n+1)C3 , then a. n >6 b. n >7 c. n...

    Text Solution

    |

  3. The value of sum(r=0)^(n-1) (""^nCr)/(""^nCr+ ""^n C(r+1)) equals a....

    Text Solution

    |

  4. A bag contains four one-rupee coins, two twenty-five paisa coins, a...

    Text Solution

    |

  5. There are four letters and four directed envelopes. The number of w...

    Text Solution

    |

  6. Kanchan has 10 friends among whom two are married to each other. She...

    Text Solution

    |

  7. Number of ways in which three numbers in A.P. can be selected from ...

    Text Solution

    |

  8. The total number of positive integral solution of 15 < x1+x2+x3 lt= 20...

    Text Solution

    |

  9. A train time table must be compiled for various days of the week, so t...

    Text Solution

    |

  10. The streets of a city are arranged like the lines of a chess board. ...

    Text Solution

    |

  11. A batsman scores exactly a century by hitting fours and sixes in 20...

    Text Solution

    |

  12. In how many ways can 2t+1 identical balls be placed in three distinct ...

    Text Solution

    |

  13. John has x children by his first wife,. Mary has (k + 1) children by h...

    Text Solution

    |

  14. let a1,a2,...an be in A.P. wth common difference pi/6. If seca1seca2+s...

    Text Solution

    |

  15. Six apples and six mangoes are to be distributed among ten boys so ...

    Text Solution

    |

  16. Find the number of ways in which we can choose 3 squares on a chess...

    Text Solution

    |

  17. If alpha= ""^m C2, then ""^(alpha)C2 is equal to a. ""^(m+1)C4 b...

    Text Solution

    |

  18. Statement 1: ((n^2)!)/((n !)^n) is natural number of for all n in ...

    Text Solution

    |

  19. Number of ways in which 7 people can occupy 6 seats, 3 seats on each...

    Text Solution

    |

  20. There are 20 books on Algebra and Calculus in one library. For the ...

    Text Solution

    |