Question

Peter arranges 10 books on a bookshelf. In how many different ways can 10 books be arranged?

Answer 1

Answer;

`\text{3,628,800 ways}`

Explanation;

Here, we want to get the number of ways the 10 books can be arranged

This is a permutation problem

To arrange r out of n items, we can have that done in the following way;

`^nP_r\text{ = }(n!)/((n-r)!)`

So, with this we have the number of ways as;

`^(10)P_(10)\text{ = }(10!)/((10-0)!)\text{ = 3,628,800 ways}`