Home
Class 12
MATHS
Find the value of .^n Cr +.^(n-1) Cr + ....

Find the value of `.^n C_r +.^(n-1) C_r + ......+ .^r C_r`

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 27|15 Videos

Similar Questions

Explore conceptually related problems

Find the value of r if "^(n-1)P_r : ^nP_r = 2:3 and "^nC_r :^(n+1)C_r = 9:13 , then find n and r

Find the value of the determinant |(.^(n)C_(r-1),.^(n)C_(r),(r+1)^(n+2)C_(r+1)),(.^(n)C_(r),.^(n)C_(r+1),(r+2)^(n+2)C_(r+2)),(.^(n)C_(r+1),.^(n)C_(r+2),(r+3)^(n+2)C_(r+3))|

(i) If .^(n)C_(18)=.^(n)C_(12) then find the value of .^(32)C_(n) . (ii) If .^(10)C_(r)=.^(10)C_(r+4) then find the value of .^(5)C_(r) .

If .^(n)C_(r-1)=.^(n)C_(3r) , find r.

If m, n, r, in N then .^(m)C_(0).^(n)C_(r) + .^(m)C_(1).^(n)C_(r-1)+"…….."+.^(m)C_(r).^(n)C_(0) = coefficient of x^(r) in (1+x)^(m)(1+x)^(n) = coefficient of x^(f) in (1+x)^(m+n) The value of r for which S = .^(20)C_(r.).^(10)C_(0)+.^(20)C_(r-1).^(10)C_(1)+"........".^(20)C_(0).^(10)C_(r) is maximum can not be

If C_(r) be the coefficients of x^(r) in (1 + x)^(n) , then the value of sum_(r=0)^(n) (r + 1)^(2) C_(r) , is

DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
  1. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

    Text Solution

    |

  2. The sum of the rational terms in the binomial expansion of (2^((1)/(2)...

    Text Solution

    |

  3. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  4. The sum of the coefficients in the expansion of (x^(2)- (1)/( 3))^(199...

    Text Solution

    |

  5. The value of .^(20)C(10)+.^(20)C(1)+.^(20)C(2)+.^(20)C(3)+.^(20)C(4)+....

    Text Solution

    |

  6. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

    Text Solution

    |

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

    Text Solution

    |

  8. The sum of the series (12)/(2!)+(28)/(3!)+ (50)/(4!) + ( 78)/(5!)+"......

    Text Solution

    |

  9. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

    Text Solution

    |

  10. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  11. (C0)/1+(C2)/3+(C4)/5+(C6)/7+.....=

    Text Solution

    |

  12. Consider the expansion of (1 + x)^(2n+1) If the coefficients of x^(r...

    Text Solution

    |

  13. The value of ""^(50)C(4)+sum(r=1)^(6)""^(56-r)C(3), is

    Text Solution

    |

  14. If x is very small in magnitude compared with a such that ((a)/(a+ ...

    Text Solution

    |

  15. In the expression (x+1) (x+4)(x+9)(x+16)"….."(x+400), the coefficient ...

    Text Solution

    |

  16. (C(1))/(C(0))+(2.C(2))/(C(1))+(3.C(3))/(C(2))+ . . .+(20.C(20))/(C(19)...

    Text Solution

    |

  17. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

    Text Solution

    |

  18. The value of sum(r=0)^n sum(s=1)^n .^nC5 .^sCr is

    Text Solution

    |

  19. Find the value of .^n Cr +.^(n-1) Cr + ......+ .^r Cr

    Text Solution

    |

  20. If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))...

    Text Solution

    |