Home
Class 12
MATHS
The coefficient of x^(7) in the expansio...

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

A

132

B

144

C

`-132`

D

`-144`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(8) is

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

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

The coefficient of x^(7) in the expansion of (1+x)^(9) is

The coefficient of x7 in the expansion of (1-x-x^(2)+x^(3))^(6) is : (1)144(2)-132(3) (4) 132

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

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

The coefficient of x^(7) in the expansion of (1-x-x^(3)+x^(4))^(8) is equal to

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

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

    Text Solution

    |

  2. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |

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

    Text Solution

    |

  4. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

    Text Solution

    |

  5. The coefficient of the term independent of x in the expansion of ((...

    Text Solution

    |

  6. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  7. Given positive integers r>1,n> 2, n being even and the coefficient of...

    Text Solution

    |

  8. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  9. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  10. The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...

    Text Solution

    |

  11. The number of terms in the expansion of (1+x)^(101) (1+x^2-x)^(100) in...

    Text Solution

    |

  12. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  13. If (2+x/3)^(55) is expanded in the ascending powers of x and the coeff...

    Text Solution

    |

  14. If 1 +x^4 +x^5 =sum(i=0)^5 ai (1 + x)^i, for all x in R, then a2 is :

    Text Solution

    |

  15. The coefficient of x^(1012) in the expansion of (1+x^(n)+x^(253)^(10),...

    Text Solution

    |

  16. The sum of coefficients of integral powers of x in the binomial exp...

    Text Solution

    |

  17. If the coefficients of the three successive terms in the binomial expa...

    Text Solution

    |

  18. The term independent of x in the binomial expansion of (1-1/x+3x^(5))(...

    Text Solution

    |

  19. If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, i...

    Text Solution

    |

  20. FOr xin r, x != -1 , If (1+x)^(2016)+x(1+x)^(215)+x^2(1+x)^(2014)+...

    Text Solution

    |