Home
Class 12
MATHS
The expression ""^(n)C(r)+4.""^(n)C(r-...

The expression
`""^(n)C_(r)+4.""^(n)C_(r-1)+6.""^(n)C_(r-2)+4.""^(n)C_(r-3)+""^(n)C_(r-4)`

A

`((n+4),(r+4))`

B

`((n+4),(r))`

C

`((n+3),(r-1))`

D

`((n+4)/(r+3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|11 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-A)|50 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

""^(n)C_(n-r)+3.""^(n)C_(n-r+1)+3.""^(n)C_(n-r+2)+""^(n)C_(n-r+3)=""^(x)C_(r)

""^(n)C_(r+1)+^(n)C_(r-1)+2.""^(n)C_(r)=

Prove that ""^(n)C_(r )+2""^(n)C_(r-1)+ ""^(n)C_(r-2)= ""^(n+2)C_(r ) .

"^(n)C_(r)=^(n)C_(n-r)

If ([""^(n)C_(r) + 4*""^(n)C_(r+1) + 6*""^(n)C_(r+2)+ 4*""^(n)C_(r+3) + ""^(n)C_(r+4)])/([""^(n)C_(r) + 3. ""^(n)C_(r+1)+ 3*""^(n)C_(r+2) + ""^(n)C_(r +3)])=(n + lambda)/(r+lambda) the value of lambda is

""^(n-2)C_(r)+2""^(n-2)C_(r-1)+""^(n-2)C_(r-2) equals :

If .^(n)C_(r-1)=.^(n)C_(3r) , find r.

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
  1. If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...

    Text Solution

    |

  2. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

    Text Solution

    |

  3. The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...

    Text Solution

    |

  4. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

    Text Solution

    |

  5. In the expansion of (x +a)^(n) the sum of even terms is E and that ...

    Text Solution

    |

  6. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

    Text Solution

    |

  7. Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6

    Text Solution

    |

  8. In the expansion of (3x+2y-z)^(8), the coefficients of x^(2)y^(3)z^(3)...

    Text Solution

    |

  9. If n is ann integer greater than 1, then a-^(n)C(1)(a-1)+.^(n)C(2)(a...

    Text Solution

    |

  10. (C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . .+(C(100))/(101) equals

    Text Solution

    |

  11. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

    Text Solution

    |

  12. The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...

    Text Solution

    |

  13. If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...

    Text Solution

    |

  14. If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...

    Text Solution

    |

  15. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

    Text Solution

    |

  16. underset(r=1)overset(n)(sum)r(.^(n)C(r)-.^(n)C(r-1)) is equal to

    Text Solution

    |

  17. The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...

    Text Solution

    |

  18. If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...

    Text Solution

    |

  19. Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...

    Text Solution

    |

  20. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

    Text Solution

    |