permutation
Meaning
A way in which a set or number of things can be ordered or arranged.
The act of changing the order or arrangement of a set of items.
Structure
Usage
The lock's code is based on a complex permutation of numbers.
The problem involves calculating the number of possible permutations for the sequence.
Through a simple permutation of the paragraphs, the essay's argument became much clearer.
Etymology
The word 'permutation' originates from the Latin permutatio, which is derived from the verb permutare, meaning "to change thoroughly" or "to interchange." This verb itself is a compound of the intensive prefix per- ("through, thoroughly") and mutare ("to change"). The core concept of thorough change evolved in mathematical and general usage to specifically denote the action or result of altering the order or sequence of a set of elements. Thus, the journey from the literal Latin sense of "complete change" to the modern, more precise meaning of "rearrangement" illustrates a semantic narrowing focused on the aspect of sequential alteration.
Analysis
- per (Latin origin): A prefix meaning "thoroughly," "completely," or "through." - mut (Latin origin): A root from the Latin verb mutare, meaning "to change." - ation (Latin origin via French): A noun-forming suffix indicating an action or process, or the result of an action.