In how many ways 10 different books can be placed in a almirah so that two specific books(i) always occur together(ii) never occur together.

In how many ways 10 different books can be arranged in an almirah such that a particular book (1) is always taken (2) is never taken

In how many ways can 21 English and 19 Hindi books be placed in a row so that no two hindi books are together?

In how many ways can 7 different books be arranged on a shelf? In many ways three particular books are always together?

Number of ways in which 15 different books can be arraged on a shelf so that two particular books shall not be together is

Number of ways in which 15 different books can be arraged on a shelf so that two particular books shall not be together is

In how many ways can 5 different books be arranged on a shelf if (i) there are no restrictions (ii) 2 books are always together (iii) 2 books are never together

It is required to arrange 8 books on a shelf. Find the number of ways to do this if two specified books are (i) always together (ii) never together