Home
Class 11
MATHS
There are three copies each of 4 differe...

There are three copies each of 4 different books. In how many ways can they be arranged in a shelf?

Text Solution

Verified by Experts

Total number of books =`3×4=12` in which each of `4` different books is repeated `3` times.
Hence required number of arrangements
=`(12!)/(3!×3!×3!×3!)`=`(12!)/(3!)^4`​
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

There are three copies each of four different books.The number of ways in which they can be arranged in a shelf is.a.(12!)/((3!)^(4)) b.(12!)/((4!)^(3)) c.(21!)/((3!)^(4)4!) d.(12!)/((4!)^(3)3!)

There are 2 English, 3 Sanskrit and 4 Hindi books. In how many ways can they be arranged on a self so as to keep all the books of the same language together?

A library has two books each having three copies and three other books each having tow copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated.

In how many ways 7 books can be arranged from 10 books?

There are p copies each of n different books. Find the number of ways in which a nonempty selection can be made from them.

A library has 5 copies of one book, 4 copies of each of 2 books, 6 copies of ech of 3 books nad single copies of 8 books. In how many ways cn all books be arranged so that copies of the same book are always together?

There are 10 different books in a shelf. In how many ways we can select atleast one of them ?

RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. How many words can be formed from the letters of the word SERIES, whic...

    Text Solution

    |

  2. Find the number of numbers, greater than a million, that can be formed...

    Text Solution

    |

  3. There are three copies each of 4 different books. In how many ways can...

    Text Solution

    |

  4. How many different arrangements can be made by using all the letters i...

    Text Solution

    |

  5. In how many ways can 4 red , 3 yellow and 2 green discs be arranged in...

    Text Solution

    |

  6. How many numbers greater than 1000000 can be formed by using the digit...

    Text Solution

    |

  7. In how many ways can the letters of the word ASSASSINATION  be arrange...

    Text Solution

    |

  8. Find the total number of permutations of the letters of the word IN...

    Text Solution

    |

  9. The letters of the word SURITI are written in all possible orders and ...

    Text Solution

    |

  10. In how many ways can 4 letters be posted in 5 letter boxes?

    Text Solution

    |

  11. Write the number of 5 digit numbers that can be formed using digits 0,...

    Text Solution

    |

  12. In how many ways 4 women draw water from 4 taps, if no tap remains ...

    Text Solution

    |

  13. Write the total number of possible outcomes in a throw of 3 dice in ...

    Text Solution

    |

  14. Write the number of arrangements of the word BANANA in which two N’s ...

    Text Solution

    |

  15. Write the number4 of ways in which 7 men and 7 women can sit on a roun...

    Text Solution

    |

  16. Write the number of words that can be formed out of the letters of the...

    Text Solution

    |

  17. Write the number of all possible words that can be formed using the ...

    Text Solution

    |

  18. Write the number of ways in which 6 men and 5 women can dine at a roun...

    Text Solution

    |

  19. In how many ways can 5 boys and 3 girls be seated in a row so that eac...

    Text Solution

    |

  20. Write the number of numbers that can be formed using all for digits ...

    Text Solution

    |