Home
Class 12
MATHS
The sum of the series C 20()0-C 20()1+C ...

The sum of the series `C 20()_0-C 20()_1+C 20()_2-C 20()_3+...-...+C 20()_(10)` is: (1) `-C 20()_(10)` (2) `1/2C 20()_(10)` (3) 0 (4) `C 20()_(10)`

A

`.^(20)C_(10)`

B

`1/2.^(20)C_(10)`

C

`0`

D

`.^(20)C_(10)`

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

The sum of the series 20C_(0)-^(20)C_(1)+^(20)C_(2)-^(20)C_(3)+...-...+^(20)C_(10) is:

The sum of the series .^(20)C_(0)-.^(20)C_(1)+ .^(20)C_(2)-.^(20)C_(3)+...-.+ .^(20)C_(10) is -

The sum of the series 20C_(0)-20C_(1)+20C_(2)-20C_(3)+...+20C_(10) is

The sum of the series S=20C_(0)-20C_(1)+20C_(2)-20C_(3)+...+20C_(10) is

The sum of the series ""^20C_0+""^20C_1+""^20C_2+...+""^20C_9 is

The sum of the series Sigma_(r = 0)^(10) ""^(20)C_(r) " is " 2^(19) + (""^(20)C_(10))/(2)

The sum of the series 2.""^(20)C_0+5.""^(20)C_1+8.""^(20)C_2+11.""^(20)C_(3)+.........62.^(20)C_20 is equal

RESONANCE-DPP-QUESTION
  1. The sum sum(m)^(i=0) ({:(10),(i):})({:(20),(m-i):}), (where ({:(p),(q)...

    Text Solution

    |

  2. Co-efficient of alpha^t in thet expansion of (alpha+p)^(m-1)+(alpha+...

    Text Solution

    |

  3. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

    Text Solution

    |

  4. The term independent of x in the expansion of (x-1/x)^4(x+1/x)^3...

    Text Solution

    |

  5. The co-efficient of x x^(n-2) in (x-1)(x-2)(x-3)(x-n) is :

    Text Solution

    |

  6. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

    Text Solution

    |

  7. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  8. If x^(2)+x=1-y^(2) , where x gt 0, y gt 0, then find the maximum value...

    Text Solution

    |

  9. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 The least value of x s...

    Text Solution

    |

  10. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of integers les...

    Text Solution

    |

  11. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of composite nu...

    Text Solution

    |

  12. The remainder lfloor1+lfloor2+lfloor3+"……"+lfloor200 is divided by 14 ...

    Text Solution

    |

  13. Solve the equation 2^(|x+1|)-2^(x)=|2^(x)-1|+1

    Text Solution

    |

  14. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

    Text Solution

    |

  15. If n^(th) term of the series 3'1/3,2,1'3/7,1'1/9,"……" is (an+10)/(bn+c...

    Text Solution

    |

  16. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  17. In the expansion of (7^(1/3)+ 11^(1/9))^6561, the number of terms free...

    Text Solution

    |

  18. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  19. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

    Text Solution

    |

  20. Prove that difference of squares of two distinct odd natural numbers i...

    Text Solution

    |