Home
Class 11
MATHS
If C(n,10)=C(n,12), determine n and henc...

If C(n,10)=C(n,12), determine n and hence C(n,5).

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (7)

    JBD PUBLICATION|Exercise EXERCISE|41 Videos

  • PERMUTATIONS AND COMBINATIONS

    JBD PUBLICATION|Exercise EXAMPLE|59 Videos

Similar Questions

Explore conceptually related problems

If "^nC_10= ^nC_12 , determine n and hence "^nC_5 .

If " C(n,7)= C(n,5) , find C(n,4) .

Verify that ""^nC_r= frac (n)(r) "^(n-1)C_(r-1) and hence prove that "^nC_r= (n!)/(r!(n-r)!) .

If ""^(n)C_(5)=""^(n)C_(10) then n equals :

If .^(20)C_(n+1) = ^ (n) C_(16) , then the value of n is

If .^(n)C_(9)=.^(n)C_(7) , find n.

If C_(0) , C_(1), C_(2), …, C_(n) are the binomial coefficients in the expansion of (1 + x)^(n) , prove that (C_(0) + 2C_(1) + C_(2) )(C_(1) + 2C_(2) + C_(3))…(C_(n-1) + 2C_(n) + C_(n+1)) ((n-2)^(n))/((n+1)!) prod _(r=1)^(n) (C_(r-1) + C_(r)) .

If .^(n)C_(r )=84, .^(n)C_(r-1)=36 " and" .^(n)C_(r+1)=126 , then find the value of n.

If C_(0), C_(1), C_(2),…, C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then sum_(r=0)^(n)(r+1)(C_(r))

JBD PUBLICATION-MODEL PAPER (8)-EXERICSE
  1. If sin theta= n sin(theta+2 alpha), show that : tan(theta+ alpha)=(1+n...

    Text Solution

    |

  2. Prove by mathematical induction that 1+3+3^2+…………+3^(n-1)=(3^n -1)/2

    Text Solution

    |

  3. Find the number of words which can be made by using all the letters of...

    Text Solution

    |

  4. If C(n,10)=C(n,12), determine n and hence C(n,5).

    Text Solution

    |

  5. The A.M. between two positive numbers is 34 and their G.M. is 16. find...

    Text Solution

    |

  6. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

  7. Find the equations of the lines, which pass through the point (4, 5) a...

    Text Solution

    |

  8. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  9. Evaluate: underset(xrarr1)lim (3x^2-2x-10)/(x^2-4).

    Text Solution

    |

  10. Find the derivative of (x^(n)-a^(n))/(x-a) for some constant a, x ne...

    Text Solution

    |

  11. A card is drawn from a well shuffled pack of 52 cards. Find the probab...

    Text Solution

    |

  12. A card is drawn from a well shuffled pack of 52 cards. Find the probab...

    Text Solution

    |

  13. If z=x+iy and |(z-3)/(z+3)| = 2, show that x^2+y^2+10x+9=0.

    Text Solution

    |

  14. If (1-7i)/(2i)^2= a+ib, then find the value of a and b.

    Text Solution

    |

  15. Give the graphical solution of the following system of inequalities: 2...

    Text Solution

    |

  16. Find all pairs of positive integers such that their sum is less than 8...

    Text Solution

    |

  17. Evaluate underset(x rarr 0)lim(sin ax+bx)/(ax+sin bx)

    Text Solution

    |

  18. Find the derivative secx w.r.t x

    Text Solution

    |

  19. The mean and standard deviation of 20 observations are found to be 10 ...

    Text Solution

    |

  20. The mean and standard deviation of 20 observations are found to be 10 ...

    Text Solution

    |