Home
Class 11
MATHS
A shelf contains 20 books of which 4 are...

A shelf contains 20 books of which 4 are single volume and the other form sets of 8, 5, and 3 volumes. Find the number of ways in which the books (i)may be arranged on the shelf so that (ii)volumes of each set will not be separated. (iii)volumes of each set remain in their due order.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A shelf contains 20 books of which 4 are single volume and the other form sets of 8, 5, and 3 volumes. Find the number of ways in which the books may be arranged on the shelf so that volumes of each set will not be separated. volumes of each set remain in their due order.

There are two works each of 3 volumes and two works each of 2 volumes; In how many ways can the 10 books be placed on a shelf so that the volumes of the same work are not separated?

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.

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.

Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

There are 3 copies each of 4 different books. Find the number of ways of arranging them on a shelf.

The number of ways in which 4 books on Mathematics and 3 books on English can be placed in a shelf, so that the books on the same subject always remain together is

Out of 4 mangoes, 5 bananas and 6 guava, find (i) number of ways in which at least on fruit is selected. (ii) number of ways in which at least one fruit of each type is selected.

If N is the number of ways in which 3 distinct numbers canbe selected from the set {3^1,3^2,3^3, ,3^(10)} so that they form a G.P. then the value of N//5 is ______.

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. There are 720 permutations of the digits 1, 2, 3, ,4 ,5, 6. Suppose th...

    Text Solution

    |

  2. Five different digits from the setoff numbers {1,2,3,4,5,6,7} are writ...

    Text Solution

    |

  3. A shelf contains 20 books of which 4 are single volume and the other ...

    Text Solution

    |

  4. How many different numbers of 4 digits can be formed from the digits 0...

    Text Solution

    |

  5. How many six-digit odd numbers, greater than 6,00,000, can be formed ...

    Text Solution

    |

  6. Eleven animals of a circus have to be placed in eleven cages (one in e...

    Text Solution

    |

  7. If A={x|x is prime number and x<30}, find the number of different rati...

    Text Solution

    |

  8. Find the sum of all the numbers that can be formed with the digits 2, ...

    Text Solution

    |

  9. How any 4-letters words, with or without meaning, can be formed out of...

    Text Solution

    |

  10. Find the numbers of positive integers from 1 to 1000, which are div...

    Text Solution

    |

  11. Find the number of ways in which two Americans, two British, one Ch...

    Text Solution

    |

  12. Find the number of permutations of letters a ,b ,c ,d ,e ,f,g taken a...

    Text Solution

    |

  13. Find the number of n digit numbers, which contain the digits 2 and 7, ...

    Text Solution

    |

  14. There are four balls of different colors and four boxes of colors same...

    Text Solution

    |

  15. Seven people leave their bags outside at temple and returning after ...

    Text Solution

    |

  16. Find the number of ways in which 5 distinct balls can be distributed i...

    Text Solution

    |

  17. Four buses run between Bhopal and Gwalior. If a man goes from Gwalior ...

    Text Solution

    |

  18. A gentle man wants to invite six friends. In how many ways can he se...

    Text Solution

    |

  19. Find the total number of ways of answering five objective type ques...

    Text Solution

    |

  20. In how many ways the number 7056 can be resolved as a product of 2 ...

    Text Solution

    |