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The Collaborative International Dictionary of English v.0.48 (gcide)

Permutation \Per`mu*ta"tion\ (p[~e]r`m[-u]"t[=a]"sn[u^]n), n.
[L. permutatio: cf. F. permutation. See {Permute}.]
1. The act of permuting; exchange of the thing for another;
mutual transference; interchange.
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The violent convulsions and permutations that have
been made in property. --Burke.
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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.
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3. (Law) Barter; exchange.
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{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.
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Alternation \Al`ter*na"tion\, n. [L. alternatio: cf. F.
alternation.]
1. The reciprocal succession of things in time or place; the
act of following and being followed by turns; alternate
succession, performance, or occurrence; as, the
alternation of day and night, cold and heat, summer and
winter, hope and fear.
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2. (Math.) Permutation.
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3. The response of the congregation speaking alternately with
the minister. --Mason.
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{Alternation of generation}. See under {Generation}.
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