Home
Class 12
MATHS
1.""^20C1 - 2.""^20C2 + 3.""^20C3 - …..-...

`1.""^20C_1 - 2.""^20C_2 + 3.""^20C_3 - …..-20.""^20C_20 = `

A

1

B

2

C

`-1`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.1 (Level - 1) |52 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - II|109 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

Observe the following statements : Statement - I : 1/2 . ""^10C_0 - ""^10C_1 + 2. ""^10C_2 - 2^2. ""^10C_3 + ……+ 2^9. ""^10C_10 = -1/2 Statement - II : ""^20C_1 - 2(""^20C_2) + 3.(""^20C_3)-…..-20.(""^20C_20) = 0 Then the false statements are :

Prove that (""^20C_1)/(""^20C_0) + 2. (""^20C_2)/(""^20C_1) + 3. (""^20C_3)/(""^20C_2) + …..+20. (""^20C_20)/(""^20C_19) = 210

The sum of the series ""^20C_0 - ""^20C_1 + ""^20C_2 - ""^20C_3 +…….""^20C_10 is

""^20C_0 + ""^20C_1 + ""^20C_2+…….+""^20C_10 =

""^20C_10.""^15C_0 + ""^20C_9.""^15C_1 + ""^20C_8.""^15C_2 + …..+""^20C_0.""^15C_10 =

(""^(20)C_(1))/(""^(20)C_(0))+2.(""^(20)C_(2))/(""^(20)C_(1))+3.(""^(20)C_(3))/(""^(20)C_(2)) +…20.(""^(20)C_(20))/(""^(20)C_(19)) =210

Show that ""^(10)C_2+^(11)C_2+^(12)C_2+^(13)C_2+...+^(20)C_2=^(21)C_3-^(10)C_3 .

sqrt3"cosec"20^(@) - sec20^@ =

AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. If ar is the coefficient of x^r in the expansion of (1+x)^n then a1/a0...

    Text Solution

    |

  2. If (1+x)^n = C0 + C1 x+ C2 x^2 + ….....+ Cn x^n, then C0+2. C1 +3. C...

    Text Solution

    |

  3. 1.""^20C1 - 2.""^20C2 + 3.""^20C3 - …..-20.""^20C20 =

    Text Solution

    |

  4. (1+x+x^2 + ……+x^p)^n = a0 + a1x + a2 x^2 + ….+a(np) x^(np) rArr a1 + 2...

    Text Solution

    |

  5. C1 + 4.C2 +7.C3 +…….+(3n-2).Cn=

    Text Solution

    |

  6. sum(r=1)^(n) (-1)^(r-1) ""^nCr(a - r) =

    Text Solution

    |

  7. 2.C0 + (2^2)/(2).C1 + (2^3)/(3).C2 + ……+(2^11)/(11).C10 =

    Text Solution

    |

  8. ""^11C0^2 - ""^11C1^2 + ""^11C2^2 - ""^11C3^2 + ……- "^11C11^2 =

    Text Solution

    |

  9. (C0)/(1) + (C2)/(3) + (C4)/(5) + ……+(C16)/(17) =

    Text Solution

    |

  10. (C1)/(2) + (C3)/(4) + …….+(C15)/(16)=

    Text Solution

    |

  11. The coefficient of x^3 in (1-4x)^(1//2) is

    Text Solution

    |

  12. The range of x for which the expansion of (1-3/x)^(-3//4) is valid is

    Text Solution

    |

  13. The range of x of which the expansion of (2-3x^2)^(-11/2)is valid is

    Text Solution

    |

  14. The fifth term of (1 - (2x)/(3))^(3//4) is

    Text Solution

    |

  15. For |x| lt 1, the (r + 1)^(th) term in the expansion of sqrt(1 - x) is

    Text Solution

    |

  16. The general term of (2a - 3b)^(-1//2) is

    Text Solution

    |

  17. In the expansion of (1+x+x^2+x^3+…..oo)^3, coefficient of x^3 is

    Text Solution

    |

  18. In the expansion of (1-2x+3x^2 -4x^3+…."to")^4 coefficient of x^2 is

    Text Solution

    |

  19. The coefficient of x^24 in (1+3x+6x^2 + 10x^3 + ……oo)^(2//3) is

    Text Solution

    |

  20. The coefficient of x^10 in (1-2x + 3x^2)/(1-x) is

    Text Solution

    |