Home
Class 11
MATHS
The coefficient of a^3b^4c in the expans...

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

A

`(9!)/(3!6!)`

B

`(9!)/(4!5!)`

C

`(9!)/(3!5!)`

D

`(9!)/(3!4!)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

Find a if the coefficients of x^2 and x^3 in the expansion of (3 + ax)^9 are equal.

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is

The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. ^30 C_6 d. ^30 C_3

The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. 496 c. 506 d. 528

If the magnitude of the coefficient of x^(7) in the expansion of (ax^(2)+(1)/(bx))^(8) , where a, b are positive numbers, is equal to the magnitude of the coefficient of x^(-7) in the expansion of (ax-(1)/(bx^(2)))^(8) , then a and b are connected by the relation

Find the expansion: tan (A + B - C)

Find the expansion: sin (A - B + C)

If the coefficients of x^3 and x^4 in the expansion of (1""+a x+b x^2)""(1-2x)^(18) in powers of x are both zero, then (a, b) is equal to (1) (16 ,(251)/3) (3) (14 ,(251)/3) (2) (14 ,(272)/3) (4) (16 ,(272)/3)

If the sum of the coefficients in the expansion of (a+b)^n is 4096, then the greatest coefficient in the expansion is a. 924 b. 792 c. 1594 d. none of these

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. For natural numbers m, n if (1-y)^m(1+y)^n=1+a1y+a2y^2+.... and a1=a2=...

    Text Solution

    |

  2. The coefficient of the term independent of x in the expansion of [((x+...

    Text Solution

    |

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

    Text Solution

    |

  4. The remainder when 9^(103) is divided by 25 is equal to

    Text Solution

    |

  5. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...

    Text Solution

    |

  6. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

    Text Solution

    |

  7. The remainder when x=5^(5^(5^(......))) (23 times 5) is divided by 24 ...

    Text Solution

    |

  8. For integer n gt 1, the digit at units place in the number sum(r=0)^(1...

    Text Solution

    |

  9. In the expansion of (1+x+x^2+x^3)^6, the coefficient of x^(14) is

    Text Solution

    |

  10. The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...

    Text Solution

    |

  11. The interval in which x must lie so that greatest term in the expansio...

    Text Solution

    |

  12. The digit in the unit place in the number (19)^(2005)+(11)^(2005)-(9)^...

    Text Solution

    |

  13. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

    Text Solution

    |

  14. If absx lt 2/3 then the 4^(th) term in the expansion of (1+3/2x)^(1/2)...

    Text Solution

    |

  15. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

    Text Solution

    |

  16. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

    Text Solution

    |

  17. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

    Text Solution

    |

  18. The largest term in the expansion of (3+2x)^50, where x=1/5, is

    Text Solution

    |

  19. The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...

    Text Solution

    |

  20. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

    Text Solution

    |