Home
Class 11
MATHS
The coefficient of x^4 in the expansion ...

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

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

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

The coefficient of x^3 in the expansion of (1-x+x^2)^5 is

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

Coefficient of x^n in the expansion of (a+x)^(2n)

The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is

The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

Coefficient of x^n in the expansion of (1+x)^(2n) is

The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(100)) is

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If the number of terms in the expansion of (x+y+z)^n are 36, then find...

    Text Solution

    |

  2. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

    Text Solution

    |

  3. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is

    Text Solution

    |

  4. Find the number of terms which are free from radical signs in the e...

    Text Solution

    |

  5. Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  6. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

    Text Solution

    |

  7. Find the sum .^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9

    Text Solution

    |

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

    Text Solution

    |

  9. If n is an even positive integer, then find the value of x if the gr...

    Text Solution

    |

  10. If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3...

    Text Solution

    |

  11. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

    Text Solution

    |

  12. If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...

    Text Solution

    |

  13. If |x|>1, then expand (1+x)^(-2)dot

    Text Solution

    |

  14. Find the cube root of 27

    Text Solution

    |

  15. Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

    Text Solution

    |

  16. Prove that :^(10)C1(x-1)^2-^(10)C2(x-2)^2+^(10)C3(x-3)^2 .....-^(10)C(...

    Text Solution

    |

  17. If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...

    Text Solution

    |

  18. Prove that sum(r=0)^n r(n-r)(.^nC r)^2=n^2(.^(2n-2)Cn)dot

    Text Solution

    |

  19. Prove that 1-^n C1(1+x)/(1+n x)+^n C2(1+2x)/((1+n x)^2)-^n C3(1+3x)/((...

    Text Solution

    |

  20. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

    Text Solution

    |