Home
Class 12
MATHS
Find the number of ways in which 4 lette...

Find the number of ways in which 4 letters can be put in 4 addressed envelopes so that no letter goes into the envelope meant for it.

Text Solution

Verified by Experts

Required number of ways is `4!((1)/(2!)-(1)/(3!)+(1)/(4!))`
`=12-4+9`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VERY SHORT ANSWER QUESTIONS|8 Videos

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SHORT ANSWER QUESTIONS|6 Videos

  • PARTIAL FRACTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 7|32 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

Similar Questions

Explore conceptually related problems

The number of ways in which four letters can be put in four addressed envelops so that no letter goes into envelope meant for it is

The number of ways in which 10 letters can be posted in 5 letter boxes is

There are 3 letters and 3 addressed envelopes coorresponding to their . The number of ways in which the letters be placed in the envelopes so that no letter is in the right envelope is

The number of ways in which five different letters can be put in their five addressed envelopes so that all the letters are in the wrong envelopes is

The number of ways of 5 letters put in 5 addressed envelopes so that one letter is in right envelop and all the remaining are placed in wrong envelopes is

Suppose that 'n' letters are written to 'n' different persons and their addresses are written on 'n' different envelops. Find the number of ways in which these letters can be put in the envelopes (one in each) such that atleast one letter does not go into the corresponding envelope.

Find the number of ways keeping 5 letters in 5 addressed envelopes

Ravish writes letters to his five friends and addresses the corresponding envelopes. The number of ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
  1. Find the number of ways in which 4 letters can be put in 4 addressed e...

    Text Solution

    |

  2. If ""^(n)P(7)=42. ""^(n)P(5). find n.

    Text Solution

    |

  3. If ""^((n+1))P(5): ""^(n)P(6)=2:7, find

    Text Solution

    |

  4. If ""^(12)P(5)+5. ""^(12)P(4)=""^(13)P(r), find r.

    Text Solution

    |

  5. If ""^(18)P((r-1)):""^(17)P((r-1))=9:7, find r.

    Text Solution

    |

  6. A man has 4 sons and there are 5 schools within his reach. In how many...

    Text Solution

    |

  7. If there are 25 railway stations on a railway line, how many types of ...

    Text Solution

    |

  8. In a class there are 30 students. On the New year day, every student p...

    Text Solution

    |

  9. Find the number of ways of arranging the letters of the word TRIANGLE ...

    Text Solution

    |

  10. Find the number of numbers that are greater than 4000 which can be for...

    Text Solution

    |

  11. Find the number of ways of arranging the letters of the word MONDAY so...

    Text Solution

    |

  12. Find the number of ways of arranging 5 different mathematics books, 4 ...

    Text Solution

    |

  13. Find the number of 5 letter words that can be formed using the letters...

    Text Solution

    |

  14. Find the number of ways of seating 10 students A(1), A(2)…..A(10) in a...

    Text Solution

    |

  15. Find the number of ways in which 5 red balls, 4 black balls of differe...

    Text Solution

    |

  16. Find the number of ways in which 5 red balls, 4 black balls of differe...

    Text Solution

    |

  17. Find the number of 4 - digit numbers that can be formed using the digi...

    Text Solution

    |

  18. If the letters of the word BRING are permuted in all possible ways and...

    Text Solution

    |

  19. Find the sum of all 4 digited numbers that can be formed using the dig...

    Text Solution

    |

  20. There are 9 objects and 9 boxes. Out of 9 objects, 5 cannot fit in thr...

    Text Solution

    |

  21. Find the number of 4- digited numbers that can be formed using the dig...

    Text Solution

    |