# Factorials and Permutations Exercises

### Example 1

Find the following factorial: 1!

### Example 2

Find the following factorial: 5!

### Example 3

Find the following factorial: 8!

### Example 4

How many ways are there to order 6 books on a shelf?

### Example 5

Simplify the factorial expression:

### Example 6

Simplify the factorial expression:

### Example 7

Simplify the factorial expression:

### Example 8

How many permutations are there with 4 objects and 2 places?

### Example 9

How many permutations are there with 6 objects and 2 places?

### Example 10

How many permutations are there with 5 objects and 3 places?

### Example 11

Find the number of permutations:

### Example 12

Find the number of permutations:

### Example 13

Find the number of permutations:

### Example 14

How many possible combinations are there on a 3-digit combination lock (each digit ranging from 0 to 9)? It's okay, you can tell us...we're not trying to break into your locker.

### Example 15

With repetition allowed, how many ways can one choose 6 out of 9 things?

### Example 16

How many possible 7-digit telephone numbers are there? Someone left their umbrella on the subway and we need to track them down.