Home
Class 12
MATHS
The coefficient of x^17in the expansion ...

The coefficient of `x^17`in the expansion of(x-1)(x-2)(x-3)….(x-18) is

A

684

B

`-171`

C

171

D

`-342`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

The cofficient of x^(17) in the expansion of (x-1)(x-2)(x-3)….(x-18) is -

The coefficient of x^(17) in the expansion of (x-1)(x-2)……..(x-18) is

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

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

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

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. If, (1)/(""^(5)C(r ))+(1)/(""^(6)C(r ))=(1)/(""^(4)C(r )), then the va...

    Text Solution

    |

  2. For +ve integer n, n^(3)+2n is always divisible by

    Text Solution

    |

  3. The coefficient of x^17in the expansion of(x-1)(x-2)(x-3)….(x-18) is

    Text Solution

    |

  4. 1+""^(n)C(1)cos theta+""^(n)C(2)cos 2theta +…+""^(n)C(n) cos n theta e...

    Text Solution

    |

  5. If x, y and z be greater than 1, then the value of |(1,log(x)y,log(x)z...

    Text Solution

    |

  6. Let A is a 3xx3 matrix and B is its adjoint matrix. If |B|=64, then |A...

    Text Solution

    |

  7. Let (("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) and...

    Text Solution

    |

  8. Let R be a relation defined on the set Z of all integers and xRy when ...

    Text Solution

    |

  9. If A={3^(n)-2n-1:n in N} and B={4(n-1):n in N}, then

    Text Solution

    |

  10. If the function f : R to R is defined by f(x)=(x^(2)+1)^(35)AA x in R,...

    Text Solution

    |

  11. Standard Deviation of n observations a(1), a(2), a(3),….a(n) is sigma....

    Text Solution

    |

  12. Let A and B be two events such that P(A nn B)=(1)/(6),P(A uu B)=(31)/(...

    Text Solution

    |

  13. The value of cos 15^(@)cos 7(1^(@))/(2)sin 7(1^(@))/(2) is

    Text Solution

    |

  14. The smallest positive root of the equation tan x-x=0 lies in

    Text Solution

    |

  15. If in a triangle ABC, AD, BE and CF are the altitudes and R is the cir...

    Text Solution

    |

  16. The points (-a,-b),(a,b),(0,0) and (a^(2),ab), a ne 0, b ne 0 are alwa...

    Text Solution

    |

  17. The line AB cuts off intercepts 2a from the axes. From any point. P on...

    Text Solution

    |

  18. x+8y-22=0, 5x+2y-34=0, 2x-3y+13=0 are the three sides of a triangle. T...

    Text Solution

    |

  19. The line through the points (a, b) and (-a, -b) passes through the poi...

    Text Solution

    |

  20. The locus of the point of intersection of the straight lines (x)/(a)+(...

    Text Solution

    |