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In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.s another example, an anagram of a word, all of whose letters are different, is a permutation of its letters. In this example, the letters are already ordered in the original word and the anagram is a reordering of the letters.
Historical Examples. 1  Augmentation and Diminution; the length of the notes is doubled or halved while their metrical relativity is maintained, e.g. 2  With this we have, in English corresponding modes of expression: e.g. 3  It is merely an accident when general names are names of classes of real objects: e. g.