Home
Class 12
MATHS
Prove that : (""^(n)C(r+1))/(""^(n)C(r)...

Prove that : `(""^(n)C_(r+1))/(""^(n)C_(r))=(n-r)/(r+1)`

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

Prove that ""^(n)P_(r )= ""^(n)C_(r )*^rP_(r ) .

Prove that ""^(n)C_(r )+2""^(n)C_(r-1)+ ""^(n)C_(r-2)= ""^(n+2)C_(r ) .

Prove that .^(n)C_(r)+^(n)C_(r-1)=^(n+1)C_(r)

Prove that : .^(n-1)C_(r)+.^(n-2)C_(r)+.^(n-3)C_(r)+.........+.^(r)C_(r)=.^(n)C_(r+1) .

Prove that ""^(n)C_(r ) ""^(r ) C_(s)= ""^(n)C_(s) ""^(n-s)C_(r-s)

""^(n)C_(r+1)+^(n)C_(r-1)+2.""^(n)C_(r)=

Prove that ^nC_(r)+^(n-1)C_(r)+...+^(r)C_(r)=^(n+1)C_(r+1)

Prove that (r+1)^(n)C_(r)-r^(n)C_(r)+(r-1)^(n)C_(2)-^(n)C_(3)+...+(-1)^(r)n_(C_(r))=(-1)^(r_(n-2))C_(r)

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)

    Text Solution

    |

  2. If ""^(15)C(x)=""^(15)C(x+3) , then find the value of X.

    Text Solution

    |

  3. Find ""^(18)C(3)+^(18)C(2)

    Text Solution

    |

  4. Verify that ""^(9)C(5)+""^(9)C(4)=""^(10)C(5)

    Text Solution

    |

  5. If .^(n)C(r-1): .^(n)C(r): .^(n)C(r+1)=3:4:5, find the values of n and...

    Text Solution

    |

  6. Prove that : (""^(n)C(r+1))/(""^(n)C(r))=(n-r)/(r+1)

    Text Solution

    |

  7. In how many ways a committee of 7 members can be selected from 10 memb...

    Text Solution

    |

  8. From a class of 30 student , 3 are to be chosen for a competition . In...

    Text Solution

    |

  9. Find the number of diagonals that can be drawn by joining the angular ...

    Text Solution

    |

  10. Find the number of sides of a polygon having 44 diagonals.

    Text Solution

    |

  11. How many committee of 5 members each can be formed with 8 officials an...

    Text Solution

    |

  12. Out of 7 consonants and 4 vowels, words are to be formed by involving ...

    Text Solution

    |

  13. A box contain 5 different red and 6 different white balls. In how many...

    Text Solution

    |

  14. A commttee of 8 is to be formed from 6 women and 5 men. In how many wa...

    Text Solution

    |

  15. Out of the 12 professors a committee of 5 professors is to be formed ....

    Text Solution

    |

  16. From a class of 12 girls and 15 boys, 12 students are to be chosen for...

    Text Solution

    |

  17. In how many ways can 8 stars(**) signs and 6 triangle (Delta ) signs b...

    Text Solution

    |

  18. In how many ways can 10 identical shirts and 7 identical trousers be p...

    Text Solution

    |

  19. In how many ways 4 different white balls and 6 different black balls b...

    Text Solution

    |

  20. In how many ways can 7 boys and 2 girls be seated in a row so that two...

    Text Solution

    |