Question

There are 4 different mathematics books and 5 different science books.In how many ways can the books be arrange on a shelf if there are no restrictions

Answer 1

9!=362880 ways

Explanation:

It is given that there are 4 different mathematics books and 5 different science books.

So basically there are 9 different books. So we have 9 choices for the first book, 8 choices for the second book, since we have placed the first one. We have 7 choices for the third book and so on. Therefore, we can arrange 9 different books in,

!9 ways, on solving !9 we get,

`!9= 9 * 8 * 7 * 6 ....* 1= 362880`

So there are 362,880 ways to arrange 9 different books if there are no restrictions.