Home
Class 11
MATHS
The value of the expression .^47C4 + sum...

The value of the expression `.^47C_4` + `sum_(j = 1)^5``.^(52 - j)C_3` is equal to

A

`^47C_6`

B

`^52C_5`

C

`^52C_4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos
  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The value of expression .^47 C_4+sum_(j=1)^5.^(52-j)C_3 is equal to a. .^47 C_5 b. .^52 C_5 c. .^52 C_4 d. none of these

The value of [""^(47)C_(4) +sum _(r=1)^(5) ""^(52-r)C_(3)] is equal to-

sum_(i = 1)^n sum_(j = 1)^i sum_(k = 1)^j 1 is equal to

If the value of lim_(n rarr oo)(n^(-3/2)) sum_(j=1)^(6n) sqrt(j) is equal to sqrt(N) , then the value of N/(12) is __________

Evaluate :. .^47C_4 + sum_(j = 0)^3 .^(50-j)C_3 + sum_(k = 0)^5 .^(56 - k)C_(53 - k)

Evaluate : .^(20)C_(5)+sum_(j=2)^(5).^(25-j)C_(4)

The value of the expansion (sumsum)_(0 le i lt j le n) (-1)^(i+j-1)"^(n)C_(i)*^(n)C_(j)=

If the value of ("lim")_(nvecoo)(n^(-3/2))dotsum_(j=1)^(6n)sqrt(j) is equal to sqrt(N) then the value of N/(8) is __________

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

The value of sum_(r=1)^(n) (-1)^(r+1)(""^(n)C_(r))/(r+1) is equal to

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

    Text Solution

    |

  2. If n in N then value of S=sum(r=0)^n(-1)^r((^nCr)/(^(r+2)Cr)) is

    Text Solution

    |

  3. The value of the expression .^47C4 + sum(j = 1)^5.^(52 - j)C3 is equal...

    Text Solution

    |

  4. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

    Text Solution

    |

  5. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

    Text Solution

    |

  6. If an=sum(r=0)^n1/(^nCr) , then sum(r=0)^nr/(^nCr) equals

    Text Solution

    |

  7. The number of real negative terms in the binomial expansion of (1+ix)^...

    Text Solution

    |

  8. Let f(n)=10^n+3 . 4^(n+2)+5, n in N. The greatest integer which divide...

    Text Solution

    |

  9. The value of the sum of the series 3cdot^nC0+8cdot^nC1+13cdot^nC2-18cd...

    Text Solution

    |

  10. For natural numbers m, n if (1-y)^m(1+y)^n=1+a1y+a2y^2+.... and a1=a2=...

    Text Solution

    |

  11. The coefficient of the term independent of x in the expansion of [((x+...

    Text Solution

    |

  12. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

    Text Solution

    |

  13. The remainder when 9^(103) is divided by 25 is equal to

    Text Solution

    |

  14. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...

    Text Solution

    |

  15. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

    Text Solution

    |

  16. The remainder when x=5^(5^(5^(......))) (23 times 5) is divided by 24 ...

    Text Solution

    |

  17. For integer n gt 1, the digit at units place in the number sum(r=0)^(1...

    Text Solution

    |

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

    Text Solution

    |

  19. The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...

    Text Solution

    |

  20. The interval in which x must lie so that greatest term in the expansio...

    Text Solution

    |