# Definitions for: Permutation

[n] act of changing the lineal order of objects in a group
[n] complete change in character or condition; "the permutations...taking place in the physical world"- Henry Miller
[n] the act of changing the arrangement of a given number of elements
[n] an event in which one thing is substituted for another; "the replacement of lost blood by a transfusion of donor blood"

Webster (1913) Definition: 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

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.

n P r = n! / (n-r)!

Synonyms: replacement, substitution, switch, transposition

See Also: fluctuation, mathematical operation, mathematical process, operation, reordering, transformation, translation, variation

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