Home
Class 14
MATHS
what is the least possible value ...

what is the least possible value of n if :
` ""^(n-1)C_3 +^(n-1)C_4 gt ""^nC_3`

A

6

B

8

C

7

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos
  • PROBABILITY

    QUANTUM CAT|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

If ""^(n-1)C_(3)+""^(n-1)C_(4)gt""^nC_(3) , then

Prove that: .^(n-1)C_3+^(n-1)C_4gt^nC_3, if ngt7

If S_n=^nC_0.^nC_1+^nC_1.^nC_2+.....+^nC_(n-1).^nC_n and if S_(n+1)/S_n=15/4 , then the sum of all possible values of n is (A) 2 (B) 4 (C) 6 (D) 8

If .^(n)C_(3)+.^(n)C_(4)gt.^(n+1)C_(3) then

The value of n so that C(n-1,3)+C(n-1,4)>C(n,3) is?

find n if .^nC_6: ^(n-3)C_3=33:4

If (n-1)C_(6)+(n-1)C_(7)>nC_(6) then

QUANTUM CAT-PERMUTATIONS & COMBINATIONS-QUESTION BANK
  1. ""^(7) P3 =n ""^(7)C3 find the value of n .

    Text Solution

    |

  2. If C(2n,3):C(n,2)=12 :1 , find n:

    Text Solution

    |

  3. what is the least possible value of n if : ""^(n-1)C3 +^(n-1...

    Text Solution

    |

  4. If ""^n Cx=56 and ""^(n)Px = 336 find n and x .

    Text Solution

    |

  5. What is the value of x when (11)Cx is maximum ?

    Text Solution

    |

  6. What is the maximum value of (12)Cx for any natural number x ?

    Text Solution

    |

  7. For what value of x, (14)Cx is maximum ?

    Text Solution

    |

  8. How many different committes of 5 members may be formed 6 gentlemen an...

    Text Solution

    |

  9. In a test paper there are 10 questions . Number of ways in which 6 que...

    Text Solution

    |

  10. In a test paper there are total 10 questions. In how many different wa...

    Text Solution

    |

  11. Droupdi has 5 friends. In how many ways can she invite one or more of ...

    Text Solution

    |

  12. In how many ways can a committee of 6 members be formed from ...

    Text Solution

    |

  13. A committee of 5 persons is to be formed from a group of a 6 gen...

    Text Solution

    |

  14. A committee of 7 persons is to be chosen from 13 persons of whom ...

    Text Solution

    |

  15. In how many ways can a committee of 4 men and 3 women be appointed fro...

    Text Solution

    |

  16. In how many ways can a committee of 4 men and 3 women be appointed fro...

    Text Solution

    |

  17. In how many ways 7 members forming a committee out of 11 be selected s...

    Text Solution

    |

  18. In how many ways 7 members forming a committee out of 11 be selected s...

    Text Solution

    |

  19. A committee of 3 experts is to be selected out of a panel of 7 persons...

    Text Solution

    |

  20. A committee of 5 persons is to be formed out of 6 gents and 4 ladies. ...

    Text Solution

    |