Question

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

Answer 1

Answer:

There are 154,440 ways.

Step-by-step 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:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

5 books from a set of 13. So

$P_{(13,5)} = \frac{13!}{(13-5)!} = 154440$

There are 154,440 ways.