Source : Webster's Revised Unabridged Dictionary (1913)
Permutation \Per`mu*ta"tion\, n. [L. permutatio: cf. F.
permutation. See {Permute}.]
1. The act of permuting; exchange of the thing for another;
mutual transference; interchange.
The violent convulsions and permutations that have
been made in property. --Burke.
2. (Math.)
(a) The arrangement of any determinate number of things,
as units, objects, letters, etc., in all possible
orders, one after the other; -- called also
{alternation}. Cf. {Combination}, n., 4.
(b) Any one of such possible arrangements.
3. (Law) Barter; exchange.
{Permutation lock}, a lock in which the parts can be
transposed or shifted, so as to require different
arrangements of the tumblers on different occasions of
unlocking.
Source : WordNet®
permutation
n 1: an event in which one thing is substituted for another; "the
replacement of lost blood by a transfusion of donor
blood" [syn: {substitution}, {transposition}, {replacement},
{switch}]
2: the act of changing the arrangement of a given number of
elements
3: complete change in character or condition; "the
permutations...taking place in the physical world"- Henry
Miller
4: act of changing the lineal order of objects in a group
Source : Free On-Line Dictionary of Computing
permutation
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.
(2001-05-10)