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.

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

In how many ways can 20 books be arranged on a shelf so that a particular pair of books shall not come together?

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 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?

In how many ways can 12 books be arranged on a shelf if 4 particular books must always be together.

In how many ways can 12 books be divided in 3 students equally?

In how many ways can 5 different books be tied up in three bundles?

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.

In how many ways can the letters of the word DIRECTOR be arranged so that the three vowels are never together?

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.