Home
Class 12
MATHS
IF ""^(15)C(r+3)=""^(15)C(2r-3), then r...

IF `""^(15)C_(r+3)=""^(15)C_(2r-3)`, then r=

A

4 or 7

B

5 or 6

C

7 or 9

D

9 or 10

Text Solution

Verified by Experts

The correct Answer is:
B
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

I : IF ""^(12)C_(r+1) ="" ^(12) C_(3r-5) then r=3 or 4 . II : If ""^(9) C_(3) +""^(9)C_(5) = ""^(10)C_(r) then r=4 or 6.

If ""^(15)C_(2r-1)=""^(15)C_(2r+4) , find r.

If ""^(18)C_(r)=""^(18)C_(r+2) then ""^(R )C_(5) =

If ""^(12)C_(r+1)=""^(12)C_(3r-5), find r.

The positive integer r, such that ""^(15)C_(3r)=""^(15)C_(r+3) is equal to

IF ""^(15)P_(r-1):""^(16)P_(r-2) = 3 : 4 then r=

If ""^(9)C_(3)+""^(9)C_(5)=""^(10)C_(r) then find r.

IF ""^(20)P_(r):""^(20)P_(r-1)=15 :1 then r=

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

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE
  1. Assertion (A) : There are three doors to a room. The number of ways in...

    Text Solution

    |

  2. If ""^(35)C(n+7)=""^(35)C(4n-2), then all the values of n are given by

    Text Solution

    |

  3. IF ""^(15)C(r+3)=""^(15)C(2r-3), then r=

    Text Solution

    |

  4. ""^(n-2)C(r)+2.""^(n-2)C(r-1)+""^(n-2)C(r-2) is equal to

    Text Solution

    |

  5. If ""^(18)C(r)=""^(18)C(r+2) then ""^(R )C(5)=

    Text Solution

    |

  6. If ""^(n)C(4)=""^(n)C(8), then ""^(n)C(2) is

    Text Solution

    |

  7. ""^(29)C(5)+sum(r=0)^(4)""^((33-r))C(4)=

    Text Solution

    |

  8. ""^(15)C(8)+""^(15)C(9)-""^(15)C(6)-""^(15)C(7) is equal to

    Text Solution

    |

  9. If ""^(18)C(15)+2(""^(18)C(16))"+"^(17)C(16)+1=""^(n)C(3) then n is

    Text Solution

    |

  10. ""^(14)C(4)+sum(j=1)^(4)""^((18-j))C(3) is equal to

    Text Solution

    |

  11. If p and q are the greatest values of ""^(2n)C(r) and ""^(2n-1)C(r) re...

    Text Solution

    |

  12. If ""^(n+1)C(3)=4(""^(n)C(2)), then n is equal to

    Text Solution

    |

  13. ""^(2n)C(2)-2""^(n)C(2)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |