Home
Class 12
MATHS
Find the value of n such that ""^(n)P(5)...

Find the value of n such that `""^(n)P_(5)=42.""^(n)P_(3),ngt4`.

Text Solution

Verified by Experts

The correct Answer is:
n = 10
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|65 Videos
  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos
  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos
  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

Similar Questions

Explore conceptually related problems

If ""^((n+2))P_(4)=42xx^(n)P_(2), find n.

If (n+3)P_(5)=56 ""^(n+1)P_(3) find n.

If ""^(n)P_(5)=20 ^(n)P_(3)"" , find the value of n.

Simplify (""^(n)P_(4))/(""^(n-1)P_(3))

If ."""^(n + 2) P_(4) = 42 xx ."""^(n)P_(2) find n .

The value of ""^(n)P_(1)+(""^(n)P_(2))/(2!)+(""^(n)P_(3))/(3!)+......+(""^(n)P_(n))/(n!)

If ""^(n-1)P_(3): ""^(n)P_(4)=1:9 find n.

Find n if ""^(n-1)P_(3):""^(n)P_(4)=1:9 .

If ""^(n)a^(n) and ""^(n)b^(n) are rational numbers and (3+sqrt5)/(3-sqrt5)=-a+bsqrt5 , find the value of ""^(n)a^(n) and ""^(n) b^(n) .

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Find the value of n such that ""^(n)P(5)=42.""^(n)P(3),ngt4.

    Text Solution

    |

  2. The number of ways in which a 7 people can sit around a round table is

    Text Solution

    |

  3. There are (n + 1) white and (n + 1) black balls, each set numbered 1 t...

    Text Solution

    |

  4. If ""^(n)P(r)=720" "^(n)C(r), then r is equal to

    Text Solution

    |

  5. Everybody in a room shakes hands with everybody else. The total n...

    Text Solution

    |

  6. The number of four-digit even numbers that can be formed using 0, 1, 2...

    Text Solution

    |

  7. The number of circular permutations of n different objects is

    Text Solution

    |

  8. The number of ways in which 5 boys and 3 girls be seated in a row so t...

    Text Solution

    |

  9. If n and r are two positive integers such that nger,"then "^(n)C(r-1)+...

    Text Solution

    |

  10. If ""^(4)C(r)=""^(4)C(r+1), then the value of r is

    Text Solution

    |

  11. The number of straight lines that can be formed by joining 20 points o...

    Text Solution

    |

  12. The number of ways in which a committee of 6 members can be formed fro...

    Text Solution

    |

  13. Evaluate the following: ""^(20)C(4)=

    Text Solution

    |

  14. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  15. If ""^(n)C(3)=220, then n = ?

    Text Solution

    |

  16. A polygon has 54 diagonals. Number of sides of this polygon is

    Text Solution

    |

  17. In how many ways can 8 students be arranged in a row?

    Text Solution

    |

  18. The number of different permutations of the word word 'BANANA' is

    Text Solution

    |

  19. Rank of the word " MOTHER " is

    Text Solution

    |

  20. Six X's have to be placed in the squares of the figure below, such tha...

    Text Solution

    |

  21. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |