Home
Class 11
MATHS
Determine n if (i) ^2n C2:^n C2=12 :1 ...

Determine n if (i) `^2n C_2:^n C_2=12 :1` (ii) `^2n C_3:^n C_3=11 :1`

Text Solution

Verified by Experts

The correct Answer is:
`n = 5`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise G|34 Videos

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise H|10 Videos

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise E|8 Videos

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Misellaneous exercise|7 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN|Exercise Exercise 4|29 Videos

Similar Questions

Explore conceptually related problems

Determine n if ( i )^(2n)C_(2):^(n)C_(2)=12:1 (ii) ^2nC_(3):^(n)C_(3)=11:1

Determine n if ""^(2n)C_(3):""^(n)C_(3)=12:1 .

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

(i) If ""^(n)C_(8)= ""^(n)C_(2) , find ""^(n)C_(2) . (ii) If ""^(n)C_(10)= ""^(n)C_(12) , determine n and hence ""^(n)C_(5) . (iii) If ""^(n)C_(9)= ""^(n)C_(8) , find ""^(n)C_(17) .

(i) If ""^(2n)C_(3) : ""^(n)C_(3)= 11 : 1 , find n. (ii) If ""^(2n)C_(3) : ""^(n)C_(2) = 12 : 1 , find n.

NAGEEN PRAKASHAN-PERMUTATION AND COMBINATION -Exercise F
  1. If .^(n)C(5) = .^(n)C(7), then find .^(n)P(3)

    Text Solution

    |

  2. If .^(16)C(r) = .^(16)C(r+6), then find .^(5)C(r).

    Text Solution

    |

  3. Determine n if (i) ^2n C2:^n C2=12 :1 (ii) ^2n C3:^n C3=11 :1

    Text Solution

    |

  4. Determine n if (i) ^2n C2:^n C2=12 :1 (ii) ^2n C3:^n C3=11 :1

    Text Solution

    |

  5. Determine n if (i) ^2n C2:^n C2=12 :1 (ii) ^2n C3:^n C3=11 :1

    Text Solution

    |

  6. If .^(15)C(r): .^(15)C(r-1) = 1:5, then find r.

    Text Solution

    |

  7. If .^(n-1)P3 :^(n+1)P3 = 5 : 12, find n.

    Text Solution

    |

  8. If .^(n)P(r) = 720 and .^(n)C(r) = 120, then find r. = (5 xx 4 xx 3...

    Text Solution

    |

  9. If ^(n+1)C(r+1): ^nCr: ^(n-1)C(r-1)=11:6:2 find the values of n and r.

    Text Solution

    |

  10. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

    Text Solution

    |

  11. If alpha=\ \ ^m C2,\ then find the value of \ ^(alpha)C2dot

    Text Solution

    |

  12. In how many ways can a team of 11 players be selected from 14 players?

    Text Solution

    |

  13. In how many ways 2 persons can be selected from 4 persons?

    Text Solution

    |

  14. In how many ways can a person invites his 2 or more than 2 friends out...

    Text Solution

    |

  15. In how many ways can 11 players be selected from 14 players if (i) a...

    Text Solution

    |

  16. In how many ways can 5 subjects be chosen from 9 subjects if three sub...

    Text Solution

    |

  17. In how many ways can 4 books be chosen from 12 books if (i) there is...

    Text Solution

    |

  18. There are 5 black and 6 red bills in a bag. Find one number of ways in...

    Text Solution

    |

  19. In 25 cricket players, there are 10 batsmen, 9 bowlers, 4 all-rounders...

    Text Solution

    |

  20. There are 8 math's books and 6 science books in a almirah. In how many...

    Text Solution

    |