Home
Class 12
MATHS
The coefficient of x^4 in the expansion ...

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

A

`""^(n)C_(4)`

B

`""^(n)C_(4)+""^(n)C_(2)`

C

`""^(n)C_(4)+""^(n)C_(1)+""^(n)C_(4).""^(n)C_(2)`

D

`""^(n)C_(4)+""^(n)C_(2)+""^(n)C_(1).""^(n)C_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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

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

The coefficient of x^(4) in the expansion of (1+x-2x^(2))^(7) is :

The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) is

The coefficient of x^(4) in the expansion of (1+x+x^(2))^(6) is

If |x| lt 1 , then the coefficients of x^(n) in the expansion of (1 + x + x^(2) + x^(3) …)^(2) , is

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If (1+x)^(n) = C(0)+C(1)x + C(2) x^(2) +...+C(n)x^(n) then C(0)""^...

    Text Solution

    |

  5. (1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!) +... is equal to

    Text Solution

    |

  6. If x + y = 1, then sum(r-0)^n r nCr x^r y^(n-r) equals

    Text Solution

    |

  7. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

  8. The total number of ways of selecting two numbers from the set {1,,...

    Text Solution

    |

  9. Total numbers of regions in which 'n' coplanar lines can divide the pl...

    Text Solution

    |

  10. The total number of ways of selecting 10 balls out of an unlimited num...

    Text Solution

    |

  11. n different toys have to be distributed among n children. Find the num...

    Text Solution

    |

  12. If b^(2) lt 2ac, the equation ax^(3)+bx^(2)+cx+d=0 has (where a, b, c,...

    Text Solution

    |

  13. There are n numbered seats around a round table. Total number of ways ...

    Text Solution

    |

  14. Total number of ways in which 4 boys and 4 girls can be seated around ...

    Text Solution

    |

  15. If letters of the word 'KUBER' are written in all possible orders and ...

    Text Solution

    |

  16. The total number of ways in with three distinct numbers in A.P. can...

    Text Solution

    |

  17. Two players P1a n dP2 play a series of 2n games. Each game can resu...

    Text Solution

    |

  18. Total number of ways in which the letters of the word 'MISSISSIPPI' ca...

    Text Solution

    |

  19. Two persons are selected at random, from n persons seated in a row (n ...

    Text Solution

    |

  20. Three numbers are selected from the set {1, 2, 3, ..., 23, 24}, withou...

    Text Solution

    |