Home
Class 12
MATHS
Coefficient of x^(48) in sum(r=0)^(50)""...

Coefficient of `x^(48)` in `sum_(r=0)^(50)""^(50)C_(r).(x-2)^(x).3^(50-r)` is

A

`.^(50)C_(2)`

B

`.^(48)C_(2)`

C

`3^(48)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

sum_(r=0)^(20).^(50-r)C_6

The coefficient of x^(27) in the expansion sum_(m=0)^(50).^(50)C_(m)(x+3)^(50-m)(-2)^(m) is:

The coefficient of x^(2017) in sum_(r = 0)^(2020)2020C_(r)(x-2018)^(2020-r)(2017)^(r) is

The coefficient of x^(50) in the expansion sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k) is also equal to :

Find the coefficient of x^(25) in expansion of expression sum_(r=0)^(50)C_(r)(2x-3)^(r)(2-x)^(50-r)

The coeggicient of x^(50) in the series sum_(r=1)^(101)rx^(r-1)(1+x)^(101-r) is

RESONANCE-DPP-QUESTION
  1. For some natural number N, the number of positive integral 'x' satis...

    Text Solution

    |

  2. Find the sum of the last 30 coefficients in the expansion of (1+x)^(59...

    Text Solution

    |

  3. Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...

    Text Solution

    |

  4. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

    Text Solution

    |

  5. |x^(2)-4x+4|ge 1

    Text Solution

    |

  6. Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...

    Text Solution

    |

  7. If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...

    Text Solution

    |

  8. Circles with centres P,Q& S are touching each other externally as show...

    Text Solution

    |

  9. The value of (P-Q) is equal to

    Text Solution

    |

  10. The value of (P-R) is equal to

    Text Solution

    |

  11. The value of (Q+R) is equal to

    Text Solution

    |

  12. The sum sum(r=0)^(n) (r+1)C(r)^(2) is equal to :

    Text Solution

    |

  13. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

    Text Solution

    |

  14. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |

  15. Let P = sum(r=1)^(50)(""^(50+r)C(r)(2r-1))/(""^(50)C(r)(50+r)), Q = su...

    Text Solution

    |

  16. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |

  17. If sum(r=0)^(n) (-1)^(r ).""^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...

    Text Solution

    |

  18. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

    Text Solution

    |

  19. The figure shows a rectangle ABCD with a semi-circle and a circle insc...

    Text Solution

    |

  20. If sum(r=0)^(2n) a(r)(x-1)^(r) = sum(r=0)^(2n) b(r)(x-2)^(r) and b(r) ...

    Text Solution

    |