ALL meanings of permutation
per·mu·ta·tion
P p - noun permutation the act of permuting or permutating; alteration; transformation. 1
- noun permutation Mathematics. the act of changing the order of elements arranged in a particular order, as abc into acb, bac, etc., or of arranging a number of elements in groups made up of equal numbers of the elements in different orders, as a and b in ab and ba; a one-to-one transformation of a set with a finite number of elements. any of the resulting arrangements or groups. Compare combination (def 8b). 1
- noun permutation transformation 1
- noun permutation version, modified form 1
- noun Technical meaning of permutation (mathematics) 1. An ordering of a certain number of elements of a given set. For instance, the permutations of (1,2,3) are (1,2,3) (2,3,1) (3,1,2) (3,2,1) (1,3,2) (2,1,3). Permutations form one of the canonical examples of a "group" - they can be composed and you can find an inverse permutation that reverses the action of any given permutation. The number of permutations of r things taken from a set of n is n P r = n! / (n-r)! where "n P r" is usually written with n and r as subscripts and n! is the factorial of n. What the football pools call a "permutation" is not a permutation but a combination - the order does not matter. 2. A bijection for which the domain and range are the same set and so f(f'(x)) = f'(f(x)) = x. 1
- countable noun permutation A permutation is one of the ways in which a number of things can be ordered or arranged. 0
- noun permutation an ordered arrangement of the numbers, terms, etc, of a set into specified groups 0
- noun permutation a group formed in this way. The number of permutations of n objects taken r at a time is n!/(n–r)! 0
- noun permutation a combination of items made by reordering 0
- noun permutation an alteration; transformation 0
- noun permutation a fixed combination for selections of results on football pools 0
- noun permutation any radical alteration; total transformation 0
- noun permutation a complete rearrangement, esp. by interchanging 0
- noun permutation any of the total number of groupings, or subsets, into which a group, or set, of elements can be arranged in a particular order: the permutations of A, B, and C taken two at a time are AB, BA, AC, CA, BC, CB 0