Home
Class 11
MATHS
If ""^15C(3r)=""^(15)C(r+3) , then find ...

If `""^15C_(3r)=""^(15)C_(r+3)` , then find `r`.

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If .^(15)C_(r+1)=^(15)C_(r+2) , find r.

If ""^(16)C_(r)=""^(16)C_(r+1) then the value of ""^(r)P_(r-3) is

If .^15 C_(3r):^(15)C_(r+1)=11 :3 , find the value of rdot

If .^(15)C_(r)=^(15)C_(r+1) then the value ofr is -

If .^(13)C_(r)=^(13)C_(r+5) , find r.

If ""^(43)C_(r-6) =""^(43)C_(3r+1), then the value of r is-

If sum_(r=0)^(n) (r)/(""^(n)C_(r))= sum_(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C_(r)) , then find n

If .^(22)C_(r+4)=^(22)C_(r+2) , find r.

If .^(2n)C_(r)=.^(2n)C_(r+2) find the value of r.

Let Q = sum_(r=0)^(50)(""^(50)C_(r))^(2), R = sum_(r=0)^(100)(-1)^(r) (""^(100)C_(r))^(2) Then find the value of Q + R

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Prove that "^n Cr+^(n-1)Cr+...+^r Cr=^(n+1)C(r+1) .

    Text Solution

    |

  2. The number of five-digit telephone numbers having atleast one of the...

    Text Solution

    |

  3. If ""^15C(3r)=""^(15)C(r+3) , then find r.

    Text Solution

    |

  4. How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lying...

    Text Solution

    |

  5. In how many ways can 10 different prizes be given to 5 students if one...

    Text Solution

    |

  6. The number of ways in which we can distribute m n students equally...

    Text Solution

    |

  7. Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the numbe...

    Text Solution

    |

  8. Find the number of ways to give 16 different things to three persons A...

    Text Solution

    |

  9. In how many ways can 10 persons take seats in a row of 24 fixed seats ...

    Text Solution

    |

  10. If n objects are arrange in a row, then the number of ways of sele...

    Text Solution

    |

  11. In how many ways can a party of 6 men be selected out of 10 Hindus, 8 ...

    Text Solution

    |

  12. Fifteen identical balls have to be put in five different boxes. Eac...

    Text Solution

    |

  13. Find the total number of positive integral solutions for (x ,y ,z) suc...

    Text Solution

    |

  14. In how many different ways can the first 12 natural numbers be divi...

    Text Solution

    |

  15. Find the number of non-negative integral solutions of equation x+y+z+2...

    Text Solution

    |

  16. The number of ways in which we can get a score of 11 by throwing th...

    Text Solution

    |

  17. Find the number of non-negative integral solutions of x+y+z+wlt=20.

    Text Solution

    |

  18. The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 ...

    Text Solution

    |

  19. Find the number of non-negative integral solutions of the equation x+y...

    Text Solution

    |

  20. If m parallel lines in a plane are intersected by a family of n para...

    Text Solution

    |