Home
Class 12
MATHS
The value of sum(r=0)^(m)""^(n+r)C(n) is...

The value of `sum_(r=0)^(m)""^(n+r)C_(n)` is equal to :

A

`""^(n+m+1)C_(n+1)`

B

`""^(n+m+""^(2)C_(n)`

C

`""^(n+m+1)C_(m)`

D

`""^(n+m-1)C_(m-1)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section D Linked Comprehension Type Questions|12 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section E (Assertion-Reason Type Questions)|5 Videos
  • PERMUTATIONS AND COMBINATIONS

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

sum_(r=0)^(n)(""^(n)C_(r))/(r+2) is equal to :

If f(n)=sum_(r=1)^(n) r^(4) , then the value of sum_(r=1)^(n) r(n-r)^(3) is equal to

The value of sum_(r=1)^(n)(""^(n)P_(r))/(r!) is

The value of sum_(r=0)^n(a+r+a r)(-a)^r is equal to a. (-1)^n[(n+1)a^(n+1)-a] b. (-1)^n(n+1)a^(n+1) c. (-1)^n((n+2)a^(n+1))/2 d. (-1)^n(n a^n)/2

If f(x)=(4+x)^(n),"n" epsilonN and f^(r)(0) represents the r^(th) derivative of f(x) at x=0 , then the value of sum_(r=0)^(oo)((f^(r)(0)))/(r!) is equal to

sum_(r=0)^n(-2)^r*(nC_r)/((r+2)C_r) is equal to

sum_(r=1)^n r(n-r) is equal to :

The sum sum_(r=0)^n (r+1) (C_r)^2 is equal to :

The value of sum_(i=0)^(n)""^(n-i)C_(r),rin[1,n]capsquare is equal to :

The value of sum_(r=0)^(n) sum_(p=0)^(r) ""^(n)C_(r) . ""^(r)C_(p) is equal to

AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Assignment Section C Objective type questions (One option is correct )
  1. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

    Text Solution

    |

  2. the results of 11 chess matches (as win , lose or draw ) are to be fo...

    Text Solution

    |

  3. A student has to answer 10 out of 13 questions in an examination. Th...

    Text Solution

    |

  4. Let N denote the number of ways in which n boys can be arranged in a l...

    Text Solution

    |

  5. The kindergarten teacher has 25 kid in her class. She takes 5 of them ...

    Text Solution

    |

  6. The number of ways in which 20 girls be seated round a table if there ...

    Text Solution

    |

  7. The number of non-negative integral solution x1 + x2 + x3 + x4 <=n (wh...

    Text Solution

    |

  8. If N is the number of positive integral solutions of x1x2x3x4 = 770, t...

    Text Solution

    |

  9. There are n white and n black balls marked 1, 2, 3,…..,n. The number o...

    Text Solution

    |

  10. There are 15 bulbs in a room. Each one of them can be operated indepen...

    Text Solution

    |

  11. The number of ways in which 5 distinct toys can be distributed among 8...

    Text Solution

    |

  12. The number of six digit numbers that can be formed from the digits 1,2...

    Text Solution

    |

  13. Find the number of integers which lie between 1 and 10^6 and which hav...

    Text Solution

    |

  14. The value of sum(r=0)^(m)""^(n+r)C(n) is equal to :

    Text Solution

    |

  15. Between two junction stations A and B there are 12 intermediate statio...

    Text Solution

    |

  16. If m parallel lines in a plane are intersected by a family of n para...

    Text Solution

    |

  17. There are n straight lines in a plane, in which no two are parallel an...

    Text Solution

    |