# Question #a504d

##### 2 Answers

10! or 3628800

#### Explanation:

First place can be filled in 10 ways second place in 9 ways third place in 8 ways...etc.

So we have 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 This can be written as 10! ( this is known as 10 factorial).

This idea can be a bit difficult to grasp at first.

These types of problems are called permutations.

The general formula for this is;

Where

So above problem would be:

Note:

So we have:

Hope this helps you.

#### Explanation:

There are

For **each** of these

Similarly for **each** of these

Similarly there are

there are

thethere are

there are

there are

re are

there are

Note that this is often written as:

Most spreadsheets and some calculators have a built-in function for this, so you don't need to do the multiple calculations.