# OEF Permutation --- Introduction ---

This module actually contains 42 exercises on permutation: rewriting, cycles, transpositions, image, order, parity, anagram. These exercises are based on the software GAP.

### Anagram with cycles

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

### Anagram with 2

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

### Inverse anagram with cycles

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

### Inverse anagram with 2

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

### Order with cycles

Let be the permutation
What is the order of ?

### Order with 2

Let be the permutation
What is the order of ?

### Order and parity with cycles

Let be the permutation
What is the order of ? What is the parity of ?

### Order and parity with 2

Let be the permutation
What is the order of ? What is the parity of ?

### Parity with cycles

Let be the permutation
What is the parity of ?

### Parity with 2

Let be the permutation
What is the parity of ?

### Image 3 with cycles

Let be the permutation
Give the of the subset {}.

### Image 4 with cycles

Let be the permutation
Give the of the subset {}.

### Image 5 with cycles

Let be the permutation
Give the of the subset {}.

### Image 3 with 2

Let be the permutation
Give the of the subset {}.

### Image 4 with 2

Let be the permutation
Give the of the subset {}.

### Image 5 with 2

Let be the permutation
Give the of the subset {}.

### Inverse image 3 with cycles

Let be the permutation
Give the of the subset {}.

### Inverse image 4 with cycles

Let be the permutation
Give the of the subset {}.

### Inverse image 5 with cycles

Let be the permutation
Give the of the subset {}.

### Inverse image 3 with 2

Let be the permutation
Give the of the subset {}.

### Inverse image 4 with 2

Let be the permutation
Give the of the subset {}.

### Inverse image 5 with 2

Let be the permutation
Give the of the subset {}.

### Square cycles towards cycles

Let be the permutation (on the set {1,2,...,})
.

### Inverse cycles towards cycles

Let be the permutation (on the set {1,2,...,})
.

### Cycles towards 2

Let be the permutation (on the set {1,2,...,})
.

### Square cycles towards 2

Let be the permutation (on the set {1,2,...,})
.

### Inverse cycles towards 2

Let be the permutation (on the set {1,2,...,})
.

### List towards cycles

Let be the permutation (on the set {1,2,...,})
.

### Square 2 towards cycles

Let be the permutation (on the set {1,2,...,})
.

### Inverse 2 towards cycles

Let be the permutation (on the set {1,2,...,})
.

### Square 2 towards 2

Let be the permutation (on the set {1,2,...,})
.

### Inverse 2 towards 2

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to cycles 4

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to cycles 5

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to cycles 6

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to cycles 7

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to cycles 8

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to 2 4

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to 2 5

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to 2 6

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to 2 7

Let be the permutation (on the set {1,2,...,})
.

### Transpositions to 2 8

Let be the permutation (on the set {1,2,...,})
.
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• Description: collection of exercises on permutations. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
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