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A permutation is one of the different ways you can line up a set of things. If you have the letters A, B, and C, one permutation is ABC, another is ACB, another is BAC, and so on. In maths this is a precise count: order matters. (A combination is different: there, order does not matter.) Though actually, outside maths people also use permutation more loosely for any reshuffle — a new permutation of the same old team, the same parts in a new order. That looser use is common in newspapers; the strict counting sense belongs to maths and computer work.
排列
組成permute + -ation. From Old French permutacïon and Medieval Latin permūtātiō: per- (“thoroughly”) + mūtāre (“to change”).
同家族的字
- permutethe verb: to rearrange
原始詞典資料4 筆記錄
以下是外部詞典記錄的用法,原文照列,我們還沒有寫成教學內容。上面的說明才是我們自己寫的;有些用法可能上面已經講過了。
permutationnoun/ˌpɜː.mjʊˈteɪ.ʃən/
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One of the ways something exists, or the ways a set of objects can be ordered.
- Which permutation for completing our agenda items makes the most sense?
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mathematicssciencesA one-to-one mapping from a finite set to itself.
- This permutation takes each element to the one following it, with the last mapped back to the first.
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combinatoricsmathematicssciencesAn ordering of a finite set of distinct elements.
- There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
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entertainmentlifestylemusicA transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
資料來源:英文維基詞典 English Wiktionary(CC BY-SA 4.0)。 原文照列,未經改寫。