Home
Class 12
MATHS
Find the coefficient of x^4 in the expan...

Find the coefficient of `x^4` in the expansion of `(1+x+x^2+x^3)^(11)dot`

A

900

B

909

C

990

D

999

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

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

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|10 Videos

  • BINOMIAL THEOREM

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

  • APPLICATION OF INTEGRALS

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

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)dot

The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n

Find the coefficients of x^4 in the expansion of (1+2x+x^2)^3

The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n is

If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3x^2+4x^3+)^(1//2)dot

Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

Find the coefficient of x^7 in the expansion of (a+3x-2x^3)^(10)dot

Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^4 in the expansion of (x//2-3//x^2)^(10)dot

AAKASH INSTITUTE ENGLISH-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 in ari...

    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. The coefficient fo x^(3) y^(4) x^(5) in the expansion of (xy + yz +...

    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 a(n) = sum(r=0)^(n) (1)/(""^(n)C(r)) , find the value of sum(...

    Text Solution

    |

  15. If x + y = 1, prove that underset(r=0)overset(n)sum r.^(n)C(r) x^(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)^(11)dot

    Text Solution

    |