Home
Class 12
MATHS
sum(k=1)^31 .^31Ck.^31C(k-1) - sum(k=1) ...

`sum_(k=1)^31 .^31C_k.^31C_(k-1) - sum_(k=1) ^30 .^30C_k.^30C_(k-1)` is equal to :

A

`.^62C_32-^59C_31`

B

`.^62C_32-^60C_31`

C

`.^62C_31 - 1`

D

`.^62C_32`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

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

The sum sum_(k=1)^(20) k (1)/(2^(k)) is equal to

The sum sum_(k=1)^(n)k(k^(2)+k+1) is equal to

The sum sum_(k=1)^(100)(k)/(k^(4)+k^(2)+1) is equal to

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

The Sum sum_(K=1)^(20)K(1)/(2^(K)) is equal to.

sum_(x-1)^(20)k(1)/(2^(k)) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Two poles AB , PQ are 160m apart and C is the mid-point of BQ on the g...

    Text Solution

    |

  2. Eccentricity of hyperbola x^2/a^2-y^2/b^2=1 is sqrt5/2 & length of lat...

    Text Solution

    |

  3. sum(k=1)^31 .^31Ck.^31C(k-1) - sum(k=1) ^30 .^30Ck.^30C(k-1) is equal ...

    Text Solution

    |

  4. Consider the circle x^2+y^2-2x-4y=0. If O represents origin , point P ...

    Text Solution

    |

  5. Find acute angle between two planes P1 and P2 passing through the inte...

    Text Solution

    |

  6. veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...

    Text Solution

    |

  7. x((x)/(sqrt(x^2-y^2))+e^(y/x))dy/dx=y(x/(sqrt(x^2-y^2))+e^(y/x))+x Let...

    Text Solution

    |

  8. If in a given GP series a1 xx a3 xx a5 xx a7 = 1/1296 ,and a2+a4=7/36 ...

    Text Solution

    |

  9. If int0^1 [-8x^2+6x+1]dx=t where [.] denotes G.I.F then t equals to

    Text Solution

    |

  10. Let f:NN to NN be defined as f(x)={(2n,if n=2,4,6 . . .),(n-1,if n=3,...

    Text Solution

    |

  11. S1 : p to (e vv q) S2 : (~p vv q) vv (~p vv e) Which of the followi...

    Text Solution

    |

  12. The term independent of x in (2x^3+3/x^k)^12 is equal to 2^8 l , where...

    Text Solution

    |

  13. If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...

    Text Solution

    |

  14. 6 tan(lim(n to oo) sum(r=1)^n tan^-1(1/(r^2+3r+3)))=

    Text Solution

    |

  15. The coefficient of the term independent of x in (1-x^2+3x^3)(5/2x^3-1...

    Text Solution

    |

  16. Find the area enclosed by x-axis & y=3-abs(x+1)-abs(x-1/2)

    Text Solution

    |

  17. If vertex of parabola is (2,-1) and equation of its directrix is 4x-3y...

    Text Solution

    |

  18. If cot alpha = -1 , sec beta=-5/3 , where alpha in (pi/2,pi) and beta ...

    Text Solution

    |

  19. 30 identical candies are distributed among 4 students S1,S2,S3 and S4....

    Text Solution

    |

  20. Find the equation of plane passing throught the points (2,-1,0) and pe...

    Text Solution

    |