Question

How many ways can you select and arrange 5 books on a shelf out 13 books?

Answer 1

There are 154,440 ways.

Explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

`P_((n,x)) = (n!)/((n-x)!)`

In this question:

5 books from a set of 13. So

`P_((13,5)) = (13!)/((13-5)!) = 154440`

There are 154,440 ways.