Gatsby wrote:No argue about this, i guess Teoman interpreted permutations well as all possible changes of place with 5 different numbers. And all that combinations are still the same draw.
I´ve checked the definition about Permutations in Wiki, and it says that "in In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting (rearranging in an ordered fashion) objects or values. Informally, a permutation of a set of objects is an arrangement of those objects into a particular order. For example, there are six permutations of the set {1,2,3}, namely [1,2,3], [1,3,2], [2,1,3], [2,3,1], [3,1,2], and [3,2,1]. One might define an anagram of a word as a permutation of its letters. The study of permutations in this sense generally belongs to the field of combinatorics.
So i guess i´m addressing to a particular case of permutations... . I´m adressing permutations not of the numbers themselves, but of their structure, their group (their symmetric group to be more exact).
In this sense, 1, 3, 5, 7, 9 is the same as 2, 4, 6, 8, 10 (the subjacent group is that the diferences between all of them is 2, or 2-2-2-2, or "adjacents" +2).
In some of my previous posts, conscient of this confusion i tried to use also the term "Transformation". Wether it should be called Permutations Builder is in fact dubious, as Teoman posted, specially for those that have some mathematic notion, maybe Stan as a better idea.
Best regards,
F.
Permutation refers only to a specific group of numbers (1, 2, 3, 4, 5) and each sequence of the 120 (1 * 2 * 3 * 4 * 5 = 120) contains each number only once, every number will be on position by 1 * 2 * 3 * 4 = 24 times. The number of permutations is known as 'n!' (factorial). There are three ways of ordering the numbers: arrangements, permutations and combinations.