In my old almirah for books, has 6 shelves. There are x books in each shelf. I have decided to keep all the books of the old almirah together with 15 new book, in 3 shelves of the new almirah, arranging books equally in 3 shelves. Find the number of books in each shelf of new almirah.

Today morning I arranged the books in the almirah of my room. In each shelf I arranged books equal to the number of shelves of almirah. But 5 books remained out of the almirah. If toral number of book are 86, Let's find the number of shelves of the almirah.

The ratio of my text books and story books is 4 : 3. If number of text books is 28, let's find the number of story books and total numbers of books.

A book store has 2 different books each having 3 volumes and 3 other different books, each having 2 volumes be arranged in a shelf, so that the volumes of the same book may remain side by side ?

A library has 5 copies of one books 4 cpies each of two books , 6 copies each of three books and 1 copy each of eight books . In how many ways can all the books be arranged ?

Show that the number of ways in which n books may be arranged on a shelf so that two particular books shall not be together is (n-2)(n-1)!

Two different books have 3 volumes for each and three other different books have 2 volumes for each . In how many different ways can these 12 volumes be arranged on a shelf , so that the volumes of the same books may remain side by side ?

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

A,B and C have respectively 4,3 and 2 differrent books. In how many different ways can they interchange the books among themselves, without altering the total number initially possessed by each ?

10 different books and 2 different pens are given to 3 boys so that each gets equal number of things. The probability that the same boy does not receive both the pens is

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.