Examples for

# Permutations

The permutation is an important operation in combinatorics and in other areas of mathematics. To permute a list is to rearrange its elements. To count the permutations of a list is to count the number of unique rearrangements of the list. Wolfram|Alpha is useful for counting, generating and doing algebra with permutations.

### Algebra of Permutations

Perform calculations using permutations and analyze their properties.

#### Describe a permutation:

#### Do algebra with permutations:

#### Compute properties of a permutation:

### Permutations of a Set

Permute different types of data, such as sets with no repeat elements and lists that allow repetition.

#### Compute permutations of a set:

#### Compute distinct permutations of a list:

### Random Permutations

Generate random permutations of a specified number of elements.

#### Generate a random permutation:

### Counting Permutations

Count how many rearrangements of a set or list are unique. Use different list sizes and permutation sizes.