Home
Class 12
MATHS
The value of sum(r=0)^(20)r(20-r)(^(20)C...

The value of `sum_(r=0)^(20)r(20-r)(^(20)C_r)^2` is equal to `400^(39)C_(20)` b. `400^(40)C_(19)` c. `400^(39)C_(19)` d. `400^(38)C_(20)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

sum_(k=0)^(20)(.^(20)C_(k))^(2) is equal to

The value of sum_(r=0)^(40) r""^(40)C_(r)""^(30)C_(r) is

the value of 40c_(31)+sum_(r=0)^(10)(C_(10+r)^(40-r)) is equal to

The value of sum_(r=0)^(9)(10C_(r))/(^^^10C_(r)+^(10)C_(r+1)) is equal to

The value of sum_(r=0)^(10)(r)^(20)C_(r) is equal to 20(2^(18)+^(19)C_(10)) b.10(2^(18)+^(19)C_(10)) c.20(2^(18)+^(19)C_(11)) d.10(2^(18)+^(19)C_(11))

The value of sum_(r=0)^(15)r^(2)((""^(15)C_(r))/(""^(15)C_(r-1))) is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. The remainder, when (15^23+23^23) is divided by 19, is

    Text Solution

    |

  2. The value of 'lambda' so that the system of equations x+2y+3=0 3x...

    Text Solution

    |

  3. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to 400^(39)C(20)...

    Text Solution

    |

  4. Consider the following statements. p : Hari is clever. q: shyam is foo...

    Text Solution

    |

  5. The area of the triangle formed by the lines y=m(1x)+c1, y=m2, x+c2...

    Text Solution

    |

  6. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

    Text Solution

    |

  7. A natural number x is chosen at random from the first one hundred natu...

    Text Solution

    |

  8. If the functions f(x)a n dg(x) are defined on RvecR such that f(x)={0,...

    Text Solution

    |

  9. If the fourth term of (sqrt(x^(1/(1+(log)(10)x))+root(12)x))^6 is equ...

    Text Solution

    |

  10. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |

  11. Let vec a=2 hat i-3 hat j= vec b= hat i+ hat j- hat k and hat c=3 ha...

    Text Solution

    |

  12. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |

  13. Distance between line r=i+j+k+lambda(2i+j+4k) and plane rdot(i+2j-k)=...

    Text Solution

    |

  14. The direction cosines of a line bisecting the angle between two per...

    Text Solution

    |

  15. If f(x) is identity function, g(x) is absolute value function and h(...

    Text Solution

    |

  16. Consider two curves C1: y^2=4[sqrt(y)]x a n dC2: x^2=4[sqrt(x)]y , whe...

    Text Solution

    |

  17. In a A B C , if /A=/B=1/2(sin^(-1)((sqrt(6)+1)/(2sqrt(3)))+sin^(-1)1/...

    Text Solution

    |

  18. The distance of the point (1, 2, 3) from the plane x+y-z=5 measured al...

    Text Solution

    |

  19. if alpha, beta, gamma are the roots of equation x^3-x-1=0 , then (1+...

    Text Solution

    |

  20. Let f(x) be a non-constant twice differentiable function defined on (o...

    Text Solution

    |