Home
Class 12
MATHS
sum(r=0)^m .^(n+r)Cn is equal to...

`sum_(r=0)^m .^(n+r)C_n` is equal to

A

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

B

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

C

`""^(n+m+3)C_(n+1)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise LEVEL 1|89 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

Similar Questions

Explore conceptually related problems

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

If n is an odd natural number, then sum_(r=0)^n (-1)^r/(nC_r) is equal to

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

sum_(r=1)^n r (n-r +1) 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

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

(sum_(r=1)^n r^4)/(sum_(r=1)^n r^2) is equal to

If sum_(r=1)^n I(r)=(3^n -1) , then sum_(r=1)^n 1/(I(r)) is equal to :

Let sum_(r=1)^(n) r^(6)=f(n)," then "sum_(n=1)^(n) (2r-1)^(6) is equal to

If S_(r)= sum_(r=1)^(n)T_(1)=n(n+1)(n+2)(n+3) then sum_(r=1)^(10) 1/(T_(r)) is equal to

VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 2
  1. sum(r=0)^(n)(""^(n)C(r))/(r+2) is equal to :

    Text Solution

    |

  2. If .^(47)C(4)+underset(r=1)overset(5)(sum).^(52-r)C(3) is equal to

    Text Solution

    |

  3. sum(r=0)^m .^(n+r)Cn is equal to

    Text Solution

    |

  4. Evaluate sum(i=0)^(n)sum(j=0)^(n) ""^(n)C(j) *""^(j)C(i), ile j .

    Text Solution

    |

  5. sum(r=0)^(n)((r+2)/(r+1))*""^(n)C(r) is equal to :

    Text Solution

    |

  6. The expression (""^(10)C(0))^(2)-(""^(10)C(1))^(2)+(""^(10)C(2))^(2)...

    Text Solution

    |

  7. If C(0),C(1), C(2),...,C(n) denote the cefficients in the expansion...

    Text Solution

    |

  8. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) +…+ C(n) x^(n) , find the...

    Text Solution

    |

  9. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) +…+ C(n) x^(n) , find the...

    Text Solution

    |

  10. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n)x^(n), then the value of sums...

    Text Solution

    |

  11. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n)x^(n), then the value of sums...

    Text Solution

    |

  12. Find the value of underset(0leiltjlen)(sumsum)(.^(n)C(i)+.^(n)C(j)).

    Text Solution

    |

  13. If n is a positive integer and C(k)=""^(n)C(k), then the value of sum(...

    Text Solution

    |

  14. If C(0),C(1),C(2),…,C(n) are the binomial coefficients in the expansio...

    Text Solution

    |

  15. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

    Text Solution

    |

  16. If (1+x+x^(2))^(n)=a(0)+a(1)x+a(2)x^(2)+….+a(2n)x^(2n) where a(0), a(...

    Text Solution

    |

  17. For any positive integer (m,n) (with ngeqm), Let ((n),(m)) =.^nCm Prov...

    Text Solution

    |

  18. Prove that ""^(n)C(3)+""^(n)C(7) + ""^(n)C(11) + ...= 1/2{2^(n-1) -...

    Text Solution

    |

  19. If n in N, then sum(r=0)^(n) (-1)^(n) (""^(n)C(r))/(""^(r+2)C(r)) is ...

    Text Solution

    |

  20. The value of ((50),(0))((50),(1))+((50),(1))((50),(2)) + ...+ ((50),(...

    Text Solution

    |