#
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. serveur web interactif avec des cours en ligne, des exercices interactifs en sciences et langues pour l'enseigment primaire, secondaire et universitaire, des calculatrices et traceurs en ligne
- Keywords: math, interactif, exercice,qcm,cours,classe,biologie,chimie,langue,interactive mathematics, interactive math, server side interactivity,exercise,qcm,class, algebra, mathematics, discrete_mathematics,, permutation, anagramme, symmetric_group, group_theory