Home
Class 12
MATHS
If ""^(n)C(r -1) = 36, ""^(n)C(r) = 84 "...

If `""^(n)C_(r -1) = 36, ""^(n)C_(r) = 84 " and " ""^(n)C_(r +1) = 126`, then find the value of `""^(r)C_(2)`.

Text Solution

Verified by Experts

The correct Answer is:
n=9 and r=3
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-2|88 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

If .^(n)P_(r) = 720 and .^(n)C_(r) = 120 , then find r. .

If .^(n)C_(r-1)=36, .^(n)C_(r)=84 and .^(n)C_(r+1)=126 , find n and r.

If ^n C_r=84 , and ^n C_(r-1)=36 , and r = 1 , then find the value of ndot

If ^nC_r=84 ,^n C_(r-1)=36 ,a n d^n C_(r+1)=126 , then find the value of ndot

If ""^(n)C_r : ""^(n)C_(r+1) =1 : 2 and^(n)C_(r+1): ""^(n)C_(r+2) = 2 : 3 determine the values of n and r.

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

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

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

If .^(n+1)C_(r+1.): ^nC_r: ^(n-1)C_(r-1)=11:6:3 find the values of n and r.

If .^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3 , find the values of n and r.

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE
  1. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  2. Let A be a set of n distinct elements. Then the total number of distin...

    Text Solution

    |

  3. In a certain test, a students gave wrong answers to at least i questio...

    Text Solution

    |

  4. A committee of 12 is to be formed from nine women and eight men. In...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A box contains 2 white balls, 3 black balls & 4 red balls. In how many...

    Text Solution

    |

  7. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife has ...

    Text Solution

    |

  8. m men and n women are to be seated in a row so that no two women sit...

    Text Solution

    |

  9. m n squares of the equal size are arranged to form a rectangle of dmen...

    Text Solution

    |

  10. If ""^(n)C(r -1) = 36, ""^(n)C(r) = 84 " and " ""^(n)C(r +1) = 126, th...

    Text Solution

    |

  11. Let n1<n2<n3<n4<n5 be positive integers such that n1+n2+n3+n4+n5=20...

    Text Solution

    |

  12. The total number of ways in which 5 balls of different colours can be ...

    Text Solution

    |

  13. Let n and k be positive integers such that n gt (k(k+1))/2. The number...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. (i) In how many ways can a pack of 52 cards be divided equally a...

    Text Solution

    |

  16. Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards...

    Text Solution

    |

  17. PARAGRAPH A There are five students S1,\ S2,\ S3,\ S4 and S5 in a musi...

    Text Solution

    |

  18. PARAGRAPH A There are five students S1,\ S2,\ S3,\ S4 and S5 in a musi...

    Text Solution

    |

  19. The number of 5 digit numbers which are divisible by 4, with digits ...

    Text Solution

    |

  20. In a high school, a committee has to be formed from a group of 6 bo...

    Text Solution

    |