Home
Class 11
MATHS
If \ ^n P4=360 ,\ find the value of ndo...

If `\ ^n P_4=360 ,\ ` find the value of `ndot`

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( n \) given that \( ^nP_4 = 360 \). ### Step-by-Step Solution: 1. **Understand the formula for permutations**: The formula for permutations \( ^nP_r \) is given by: \[ ^nP_r = \frac{n!}{(n-r)!} \] ...
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

If .^(m+n)P_(2)=90 and .^(m-n)P_(2)=30 , find the value of m and .

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

If .^(n)P_(3)=720 , then find the value of .^(11)P_(n) .

If P/7 = 4 , then find the value of P

If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. between aa n db . Then, find the value of ndot

If .^(n)P_(4): .^(n)P_(5) = 1:2 , find the value of n.

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

RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. Evaluate each of the following: P(6,4)

    Text Solution

    |

  2. If P(5, r)=P(6, r-1),\ fin d\ rdot

    Text Solution

    |

  3. If \ ^n P4=360 ,\ find the value of ndot

    Text Solution

    |

  4. If P(9, r)=3024 ,\ find rdot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |