Home
Class 12
MATHS
The least value of the natural numbar 'n...

The least value of the natural numbar 'n' satisfying `C(n,5)+C(n,6)gtC(n+1,5)` is

A

10

B

12

C

13

D

11

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-II|229 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

The least value of n so that ""^(n) C_(5) + ""^(n ) C_(6) gt ( n +1 ) C_(5) is

Statement - I : The variance of first n even natural numbers is (n^(2) - 1)/(4) Statement - II : The sum of first n natural numbers is (n(n+1))/(2) and the sum of the squares of first n natural numbers is (n(n+1)(2n+1))/(6)

The least positive intergral value of n which satisfies the inequality ""^(n-1) C_(3) + ^(n-1) C_(4) gt ^(n) C_(3) is

For any natural number n, (15xx5^(2n))+(2xx2^(3n)) is divisible by

If ""^(n)C_(4)=""^(n)C_(6) , find n.

If ""^(n)P_(5)=""^(n)P_(6) then n is

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE
  1. ""^(2n)C(2)-2""^(n)C(2)=

    Text Solution

    |

  2. The least positive integral value of x which satisfies the inequality ...

    Text Solution

    |

  3. The least value of the natural numbar 'n' satisfying C(n,5)+C(n,6)gtC(...

    Text Solution

    |

  4. If ""^(n)C(r-1):""^(n)C(r):""^(n)C(r+1)=2:4:5 then (n,r) is

    Text Solution

    |

  5. ""^(n) C(r-1) = 330 ,""^(n)C(r)=462 , ""^(n)C(r+1) = 462 implies r=

    Text Solution

    |

  6. ""^(37)C(4)+sum(r=1)^(5)(42-r)(C(r))=

    Text Solution

    |

  7. The number of ways that 3 English, 3 Hindi & 3 Telugu books can be cho...

    Text Solution

    |

  8. The number of ways can 5 red and 4 white balls be drawn from a bag con...

    Text Solution

    |

  9. Every body in a room shakes hands with every body else. The total numb...

    Text Solution

    |

  10. Let A be the set of 4-digit numbers a(1)a(2)a(3)a(4) where a(1)gta(2)g...

    Text Solution

    |

  11. The number of ways in which 5players are selected from 10 players so ...

    Text Solution

    |

  12. Out of 6 gentlmen and 4 ladies a committee of 5 is to be ...

    Text Solution

    |

  13. The number of ways that 6 questions can be chosen out of 9 questions s...

    Text Solution

    |

  14. The number of ways in which 7 players can be selected from a batch of ...

    Text Solution

    |

  15. A person wishes to make up as many different parties of 10 as he can o...

    Text Solution

    |

  16. The number of ways of selecting 6 clerks from 8 male &7 female ap...

    Text Solution

    |

  17. 60 employees are there in a college. The number of ways can a cooperat...

    Text Solution

    |

  18. A candidate is required to anwer 6 questions by choosing atleast one q...

    Text Solution

    |

  19. 15 people are to travel by a bus which can carry 9 inside and 6 outsid...

    Text Solution

    |

  20. A boats crew consists of 16 men , 6 of whom can only row on o...

    Text Solution

    |