Home
Class 12
MATHS
sum(i=0)^n sum(j=0)^n .^nCi xx ^nCj , (i...

`sum_(i=0)^n sum_(j=0)^n .^nC_i xx ^nC_j , (i ne j)` is equal to :

A

`"^(2n)C_(n+1)`

B

`"^(2n)C_(n)`

C

`"^(n)C_(n/2)`

D

`2^(2n)-"^(2n)C_(n)`

Text Solution

Verified by Experts

The correct Answer is:
D
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_(j=1)^(n)sum_(i=1)^(n)i=

sum_(i=0)^(n)sum_(j=0)^(m)*^(n)C_(i)*C_(j) is equal to

Evaluate sum_(i=0)^(n)sum_(j=0)^(n) ""^(n)C_(j) *""^(j)C_(i), ile j .

sum_(i=0)^(n)2^(i) is equal to

The value of sum sum_(0<=i<=j<=n)(sim nC_(i)+^(n)C_(j)) is equal to

sum_(r=0)^(n)nC_(r)(sin rx) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let A={1,2,3,. . . ,7} , B={3,6,7,9} be two set and S={C sube A; CnnB ...

    Text Solution

    |

  2. Let y(x) be the solution of the differential equation dy/dx+(xy)/(x^2-...

    Text Solution

    |

  3. sum(i=0)^n sum(j=0)^n .^nCi xx ^nCj , (i ne j) is equal to :

    Text Solution

    |

  4. The value of ln2 d/dx(log(cos x) cosec x) at x =pi/4 is

    Text Solution

    |

  5. In a group of AP having 1st term 100 and last term 199. If number of t...

    Text Solution

    |

  6. dy/dx-y=1-e^-x represent a curve y=f(x) such that lim(x to 0) f(x) is ...

    Text Solution

    |

  7. sin^-1x/alpha=cos^-1x/beta then value of sin((2 pi alpha)/(alpha+beta)...

    Text Solution

    |

  8. If x^2+y^2+2ax+2by+c=0 is a circle whose diameter is PQ such that absc...

    Text Solution

    |

  9. Let A=[(a,b),(c,d)] be a matrix such that A=A^-1 where a , b , c ,d in...

    Text Solution

    |

  10. Let means and standard deviation of 40 observations are 30 and 5 respe...

    Text Solution

    |

  11. If p and q are two statements then negation of p hArr (q rArr p) is

    Text Solution

    |

  12. Let a1,a2,a3, . . .,an be in A.P. The ratio of sum of first five terms...

    Text Solution

    |

  13. Let S be sample space for 5 digit numbers . If p is probability of a n...

    Text Solution

    |

  14. Let A=[(1,2),(-2,-5)] , alpha & beta belongs to real numbers such that...

    Text Solution

    |

  15. (p wedge r) hArr (p wedge ~q) which is equivalent to ~p. Then r will b...

    Text Solution

    |

  16. The remainder of (2021)^(2022)+(2022)^(2021) when divided by 7 is

    Text Solution

    |

  17. Let R1 and R2 be two relation defined on R by aR1 b:ab ge 0 and aR2b h...

    Text Solution

    |

  18. If x^2/a^2+y^2/b^2=1 satisfies (4sqrt(2/5),3) and e=1/4 then, a^2+b^2 ...

    Text Solution

    |

  19. Cos ((2pi)/7) + cos ((4pi)/7) + cos ((6pi)/7) =

    Text Solution

    |

  20. If lim(x to 7) (18-[1-x])/([x]-3a) exist, then a is equal to

    Text Solution

    |