Home
Class 11
MATHS
If .^nPr = .^nP(r + 1) and .^nCr = .^nC(...

If `.^nP_r` = `.^nP_(r + 1)` and `.^nC_r` = `.^nC_(r-1)`
then the value of n + r is..

Text Solution

Verified by Experts

5
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If ^nP_r=^nP_(r+1) and ^nC_r=^nC_(r-1) then the values of n,r are

if ^nC_r+ ^nC_(r+1)= ^(n+1)c_x then the value of x is

If 16C_r=^16C_(2r+1) then the value of r will be

If ^nP_r=120 ^nC_(n-r) , find the value of r.

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

If ^nP_r=504 and ^nC_r=84 ,then find value of n and r.

If nC_r + nC_(r+1) = (n+1)C_x then x=?

If .^(n+r+1)P_(2)=72and.^(n-r)P_(2)=12 then find the values of n and r.

If .^nc_(r-1)=10 , .^nc_(r)=45 and .^nc_(r+1)=120 then r equals

If .^(n)C_(r-1)=36,.^(n)C_(r)=84,and^(n)C_(r+1)=126, " then the value of " .^(n)C_(8) is

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. the remainder obtained 1! + 2! + ......+1200! is divided by 14 is

    Text Solution

    |

  2. A bouquet from 11 different flowers is to be made so that it contains ...

    Text Solution

    |

  3. If .^nPr = .^nP(r + 1) and .^nCr = .^nC(r-1) then the value of n + r...

    Text Solution

    |

  4. A five digit number divisible by 3 is to be formed using the numerals ...

    Text Solution

    |

  5. Find the number of number between 300 and 3000 that can be formed with...

    Text Solution

    |

  6. A number of four different digits is formed with the help of the digit...

    Text Solution

    |

  7. A number of four different digits is formed with the help of the digit...

    Text Solution

    |

  8. A number of four different digits is formed with the help of the digit...

    Text Solution

    |

  9. A number of four different digits is formed with the help of the digit...

    Text Solution

    |

  10. A train is going from kolkata to Delhi stops at nine intermediate stat...

    Text Solution

    |

  11. If ^nPr = ^nP(r + 1) and ^nCr = ^nC(r - 1) find the value of n and r.

    Text Solution

    |

  12. Solve the inequality .^(n-1)C4 - .^(n -1)C3 - 5/4 .^(n-2)C2lt 0,n in ...

    Text Solution

    |

  13. The letters of the word OUGHT are written in all possible order and th...

    Text Solution

    |

  14. How many numbers of 5 digits can be made with the digits 0,1,2,3,4,5 w...

    Text Solution

    |

  15. There are 2n guests at a dinner party. Supposing that the master and m...

    Text Solution

    |

  16. n different things are arranged around a circle. In how many ways can ...

    Text Solution

    |

  17. How many integers between 1 and 10,00,000 have the sum of the digits e...

    Text Solution

    |

  18. Let Tn denotes the number of triangles which can be formed using the v...

    Text Solution

    |

  19. If .^nc(r-1)=10,.^nc(r)=45 and .^nc(r+1)=120 then r equals

    Text Solution

    |

  20. The total number of five digit numbers of different digits in which th...

    Text Solution

    |