Home
Class 12
MATHS
The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7...

The value of `( .^7C_0 + ^7C_1)+( .^7C_1+ ^7C_2)+....+(.^7C_6+ ^7C_7)` is (A) `2^7-1` (B) `2^8-2` (C) `2^8-1` (D) `2^8`

A

`2^(8)-1`

B

`2^(8)+1`

C

`2^(8)`

D

`2^(8)-2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

Similar Questions

Explore conceptually related problems

If \ ^8C_r-\ ^7C_3\ =^7C_2\ find r

If the value of "^(n)C_(0)+2*^(n)C_(1)+3*^(n)C_(2)+...+(n+1)*^(n)C_(n)=576 , then n is (a) 7 (b) 5 (c) 6 (d) 9

(""^(8) C_(0) )/(6) - ""^(8) C_1 + ""^(8) C_(2) . 6-""^(8) C_3 . 6^2 + ... + ""^(8) C_(8) .6^(7) is equal to (i) 0 (ii) 6^7 (iii) 6^5 (iv) (5^8)/(6)

cos(pi/7) cos((3pi)/7) cos((5pi)/7) is (A) 1/8 (B) -1/8 (C) 1/(2sqrt2) (D) 1/2

Prove that: 2xx^7C_4=^8C_4

7/(100) is equal to (a)7.1 (b) 7.01 (c) 0.7 (d) 0.07

How much is a^2-3a greater than 2a^2+4a ? (A) a^2-7a (B) a^2+7a (C) -a^2-7a (D) a^2+7a

1-:(-5)/7= (a) 2/7 (b) 5/7 (c) -2/7 (d) (-7)/5

Number of real roots of the equation 2^x+2^(x-1)+2^(x-2)=7^x+7^(x-1)+7^(x-2) is (A) 4 (B) 2 (C) 1 (D) 0

If a= ^(20)C_(0) + ^(20)C_(3) + ^(20)C_(6) + ^(20)C_(9) + "…..", b = ^(20)C_(1) + ^(20)C_(4) + ^(20)C_(7) + "… and c = ^(20)C_(2) + ^(20)C_(5) + ^(20)C_(8) + "…..", then Value of (a-b)^(2) + (b-c)^(2) + (c-a)^(2) is

VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
  1. If n is an even natural number , find the value of sum(r=0)^(n) ((...

    Text Solution

    |

  2. sum(r=0)^n(-2)^r*(nCr)/((r+2)Cr) is equal to

    Text Solution

    |

  3. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

    Text Solution

    |

  4. The remainder, if 1+2+2^2++2^(1999) is divided by 5 is.

    Text Solution

    |

  5. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

    Text Solution

    |

  6. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

    Text Solution

    |

  7. Let S1=sum(j=1)^(10)j(j-1)^(10)Cj ,""S2=sum(j=1)^(10)j""^(10)Ci "andS"...

    Text Solution

    |

  8. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

    Text Solution

    |

  9. Prove that ^100 C0^(100)C2+^(100)C2^(100)C4+^(100)C4^(100)C6++^(100)C(...

    Text Solution

    |

  10. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  11. The digit at the unit place in the number 19^(2005)+11^(2005)-9^(2005)...

    Text Solution

    |

  12. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  13. In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 14...

    Text Solution

    |

  14. The value of underset(r=0)overset(40)sumr.^(40)C(r).^(30)C(r) is

    Text Solution

    |

  15. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

    Text Solution

    |

  16. The fractional part of 2^(4n)/15 is (n in N) (a) 1/15 (b) 2/15 (c...

    Text Solution

    |

  17. If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2) + "……" + C(n)x^(n), then ...

    Text Solution

    |

  18. Statement 1: Remainder w h e n3456^2222 is divided by 7 is 4. Statemen...

    Text Solution

    |

  19. If R is remainder when 6^(83)+8^(83) is divided by 49, then the value ...

    Text Solution

    |

  20. The remainder when 2^(2003) is divided by 17 is:

    Text Solution

    |