# Results for: permutation-group

### What are permutation groups?

A permutation group is a group of permutations, or bijections (one-to-one, onto functions) between a finite set and itself.

### Every finite group is isomorphic to a permutation group?

yes form cayleys theorem . every group is isomorphic to groups of permutation and finite groups are not an exception.

### What is the permutation group for 123?

{123, 132, 213, 231, 312, 321}

### What is the permutation of the word permutation?

There is no "the" permutation: there are 19,958,400 permutations.

### What is the difference between permutation and combination?

A permutation is an arrangement of objects in some specific order. Permutations are regarded as ordered elements. A selection in which order is not important is called a combination. Combinations are regarded as sets. For example, if there is a… Full Answer

### Give an example of a permutation and combination?

If there is a group of 3 coloured balls, then any groups of 2 balls selected from it will be considered as a combination, whereas the different arrangements of every combination will be considered as a permutation

### What is a general formula for the permutation nPr in terms of n and r For instance if you have the permutation nP1 how do you find n?

Permutation Formula A formula for the number of possible permutations of k objects from a set of n. This is usually written nPk . Formula: Example: How many ways can 4 students from a group of 15 be lined up… Full Answer

### What is the relationship between Permutation?

Permutation is when order matters

### When was Permutation City created?

Permutation City was created in 1994.

### How do you make a good sentence with the word permutation?

i am a permutation is a awesome answer

### What is the definition of permutation?

A permutation is an ordered arrangement of a set of objects.

### How many pages does Permutation City have?

Permutation City has 310 pages.

### What does permutation means?

Permutation is a way to arrange things in which order is important

### How do you prove Cayley's theorem which states that every group is isomorphic to a permutation group?

Cayley's theorem: Let (G,\$) be a group. For each g Ð„ G, let Jg be a permutation of G such that Jg(x) = g\$x J, then, is a function from g to Jg, J: g --> Jg and is an… Full Answer

### Is every permutation always a one-to-one function?

By definition, a permutation is a bijection from a set to itself. Since a permutation is bijective, it is one-to-one.

### What is the permutation of 7?

There can be only one permutation of a single number: so the answer is 7.

### When we use permutation or combination?

Permutation is when order matters, combination is when order does not matter

### When was Permutation - album - created?

Permutation - album - was created on 1998-06-01.

### What are the symbols of permutation groups?

some examples of symbols for permuation groups are: Sn Cn An These are the symmetric group, the cyclic group and the alternating group of order n. (Alternating group is order n!/2, n>2) One other is the Dihedral group Dn of… Full Answer

### Which is the best exponential notation for (xy) (xy) (xy)?

The answer depends on whether xy are commutative numbers or operators in a permutation group.

### Difference between permutation and combination?

the permutation is an specific ordered combination. the combination is not need specific order combination...

### What is the difference between combinations and permutations?

A permutation is a combination in order. If the order does not matter, then it is a combination. If the order does matter, then it is considered a permutation.

### How many ways can 4 people be chosen from a group of 9and is this a combination or permutation?

it is a combination: 9!/4!=9 x 8 x 7 x 6

### Words that mean the same as permutation?

Configuration is another word for permutation. Additional synonyms include arrangement, combination, order, and variation.