Home
Class 11
MATHS
If P(n-1,\ 3): P(n ,4)=1:9 find n...

If `P(n-1,\ 3): P(n ,4)=1:9` find n

Text Solution

Verified by Experts

Given: `P(n−1,3):P(n,4)=1:9`
=`(P(n−1,3))/(P(n,4))=1/9`​
=`((n−1)!​)/((n−1−3)!)xx((n−4)!)/(n!)=1/9`
...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    RD SHARMA|Exercise Solved Examples And Exercises|81 Videos
  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|280 Videos

Similar Questions

Explore conceptually related problems

13. If P(n-1,2):P(n,4)=1:9, find n

P(n+1,5):P(n,5)=2:3 then find n

If P(n,5):P(n,3)=2:1 find n

(b) If .^(n)P_(4):^(n+1)P_(4)=5:9 .find n

If P(n,4)=20P(n,2), find n

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, find n

If P(n,4)=20xx P(n,2), find n

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

If .^nP_4= .^(n+1)P_4=3:4 , find n.

RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. If P(9, r)=3024 ,\ find rdot

    Text Solution

    |

  2. If P(11 , r)=P(12 , r-1) find ndot

    Text Solution

    |

  3. If P(n-1,\ 3): P(n ,4)=1:9 find n

    Text Solution

    |

  4. If ""^(2n-1)P(n): ""^(2n+1)P(n-1)=22:7, find n.

    Text Solution

    |

  5. If P(n ,5): P(n ,3)=2:1 find n

    Text Solution

    |

  6. Prove that: P(1,1)+2. P(2,2)+3. P(3,3)++ndotP(n , n)=P(n+1,\ n+1)-1.

    Text Solution

    |

  7. In how many ways can five children stand in a queue?

    Text Solution

    |

  8. From among the 36 teachers in a school, one principal and one vice ...

    Text Solution

    |

  9. Four letters E, K, S an V, one in each, were purchased from a plastic ...

    Text Solution

    |

  10. Four books, one each in Chemistry, Physics, Biology and Mathematics, ...

    Text Solution

    |

  11. Find the number of different 4-leter words, with or without meaning, ...

    Text Solution

    |

  12. How many 3 digit numbers are there, with distinct digits, with each ...

    Text Solution

    |

  13. How many words, with or without meaning, can be formed by using all th...

    Text Solution

    |

  14. There are two works each of 3 volumes and two works each of 2 volumes;...

    Text Solution

    |

  15. There are 6 items in column A and 6 items in column B. A student is ...

    Text Solution

    |

  16. How many three digit numbers are there, with no digit repeated.

    Text Solution

    |

  17. How many 6-digit telephone numbers  can be constructed with digits ...

    Text Solution

    |

  18. In how many ways can 6 boys and 5 girls be arranged for a group photog...

    Text Solution

    |

  19. How many 3-digit even numbers can be made using the digits 1,2,3,4,...

    Text Solution

    |

  20. How many 3-digit numbers can be formed by using the digits 1 to 9 if n...

    Text Solution

    |