Home
Class 12
MATHS
There are 3 copies of each of 4 diffe...

There are 3 copies of each of 4 different books . The number of ways that they can be arranged in a shelf is

A

`12!`

B

`12!//(4!)^3`

C

`12!//(3!)^4`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (COMBINATIONS )|222 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -1|9 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos
  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

Similar Questions

Explore conceptually related problems

There are 5 copies each of 4 different books. Find the number of ways of arranging these books in a shelf.

There are 4 copies (alike) each of 3 different books. Find the number of ways of arranging these 12 books in a shelf in single row.

A book store has m copies each of n different books. Find the number of ways of arranging these books in a shelf.

20 persons were invited for a party . The number of ways that they can be arranged in a circle with the host is

In a library, there are 6 copies of one book, 4 copies each of two different books, 5 copies each of three different books and 3 copies each of two different books. Find the number of ways of arranging all these books in a shelf in a single row.

A book store has 'm' copies each of, 'n' different books. Find the number of ways of arranging the books in a shelf in a single row.

IF there are 6 periods in each working day of a school , then the number of ways that you can arrange 5 subjects the working day is

If there are 5 perids in each working day of a school , then the number of ways that you can arrage 4 subjects during the working day is

DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1A (PERMUTATIONS )
  1. IF there are m copies of each of the n differernt books s then ...

    Text Solution

    |

  2. In a library, there are 6 copies of one book, 4 copies each of two dif...

    Text Solution

    |

  3. There are 3 copies of each of 4 different books . The number of ...

    Text Solution

    |

  4. The number of ways of arranging the letters AAABBBBCC in a row i...

    Text Solution

    |

  5. 6 identical coins are arranged on a row the number of arrangements...

    Text Solution

    |

  6. The number of ways of painting the faces of a cube with six diffe...

    Text Solution

    |

  7. The number of permuations that can be made by using all the ...

    Text Solution

    |

  8. The number of ways in letters of the ALGEBRA can be arranged w...

    Text Solution

    |

  9. The number of ways in which the letters of the word ALGEBRA...

    Text Solution

    |

  10. How many ways are there to arrange the letters in the word G...

    Text Solution

    |

  11. The number of ways in which the letters of the word MULTIPLE ...

    Text Solution

    |

  12. The number of ways in which candidates A1,A2 ,. . . A(10) can b...

    Text Solution

    |

  13. S1 ,S2 ,. . . S(10) are the speakers in a conference if S1 add...

    Text Solution

    |

  14. IF eight person are to address a meeting , then the number of...

    Text Solution

    |

  15. A,B,C are three persons amongst seven persons who speak at a f...

    Text Solution

    |

  16. All the letters of the word EAMCET are arranged in all possible...

    Text Solution

    |

  17. How many different words can be formed by jumbling the letters ...

    Text Solution

    |

  18. The number of permutaions that can be formed by arranging all th...

    Text Solution

    |

  19. The total number of ways in which six '+' and four '-' sign b...

    Text Solution

    |

  20. A binary sequence is an array of '0' s and 1's . The number o...

    Text Solution

    |