The number of ways that 5 Mathematics, 3 Physics and 2 Chemistry books can be arranged so that the three physics books kept together and the two chemistry books not together is

The number of ways in which 5 mathematics , 4 physics , 2 chemistry books can be arranged in a shelf so that the books of mathematics books are kept together is

The number of ways in which 5 mathematics 4, physcis 2, chemistry books can be aranged in a shelf so that the books of each subject are kept together is

The number of ways in which n books can be arranged so that two particular books are not together is

The number of ways in which n books can be arranged so that two particular books are not together is

In how many ways 4 mathematics books , 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together ?

In how many ways 3 books of Mathematics, 4 books of Physics and 2 books of Chemistry can be arranged on a table if all the books of one subject placed together?

In how many ways 3 books of Mathematics,4 books of Physics and 2 books of Chemistry can be arranged on a table if all the books of one subject placed together?

The sum of the costs of one book each of Mathematics, Physics and Chemistry is Rs 210. Total cost of a mathematics book, 2 physics books, and a chemistry book is Rs. 240/- Also the total cost of a Mathematics book, 3 physics book and 2 chemistry books is Rs. 300/-. Find the cost of each book using matrices.