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a permutation of [sth]
常用于数学或计算机科学中，表示所有可能的重新排列。
The algorithm computes every permutation of the input set.
该算法计算输入集的每一种排列。
排列；置换
先理解核心含义，再看它在真实句子里的用法。
排列；置换
the act of changing the arrangement of a given number of elements
The algorithm computes every permutation of the input set.
该算法计算输入集的每一种排列。
数学中元素的排列方式
某事物存在的方式之一,或一组对象可以排列的方式。
One of the ways something exists, or the ways a set of objects can be ordered.
从有限集合到自身的一一映射。
A one-to-one mapping from a finite set to itself.
有限集合中不同元素的一种排列。
An ordering of a finite set of distinct elements.
通过应用一种或多种操作(特别是移调、倒影和逆行)对集合原始形式进行的变换。
A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
The number of permutations of a set of n objects is n factorial.
n个对象的集合的排列数是n的阶乘。
After several permutations, the team finally settled on a new structure.
经过几次重新组合后，团队最终确定了一个新的结构。
A permutation of the company's leadership led to a complete shift in strategy.
公司领导层的更替导致战略彻底转变。
常用于数学或计算机科学中，表示所有可能的重新排列。
The algorithm computes every permutation of the input set.
该算法计算输入集的每一种排列。
These three colors can be arranged in any permutation.
这三种颜色可以以任何排列方式安排。
Not this
We need to permutation the order of the items.
Use this
We need to permute the order of the items.
“permutation”是名词，不能直接用作动词。正确的动词形式是“permute”或“rearrange”。
Not this
In the lottery, the order doesn't matter, so it's a permutation.
Use this
In the lottery, the order doesn't matter, so it's a combination.
在概率中，顺序无关的是组合（combination），而排列（permutation）考虑顺序。此混淆在中文学习者也常见。
Focus on the distinctions below. Other candidates are kept compact until a reliable usage note is available.
随机排列
The algorithm generates a random permutation of the numbers one through ten.
该算法生成数字1到10的一个随机排列。
循环排列
A cyclic permutation shifts each element one position to the right.
循环排列将每个元素向右移动一个位置。
置换群
In group theory, a permutation group is a set of permutations that form a group.
在群论中，置换群是一组构成群的排列。
置换检验
A permutation test can assess whether two samples come from the same distribution.
置换检验可以评估两个样本是否来自同一分布。
各种排列形式
The software tries various permutations of the options to find the best combination.
该软件尝试各种排列形式以找到最佳组合。
Use permutation naturally, then get feedback on meaning, tone, grammar, and phrasing.
Revisit a common error or keep this word in your review list.
联想：permutation 中间藏着 mutation（变化）——把一组东西的顺序变一变，就是“排列、置换”。
语域：formal 常见场景：数学与逻辑讨论、学术或正式写作 permutation 在数学中指排列或置换，属于较正式、专业的用词，日常口语中比较少见，多出现在学术或正式语境。若指日常事物的排列方式，通常用 arrangement 或 order 更自然。
All of the listed words rhyme with permutation: they have the same stressed sequence /eɪʃən/ (spelled -ation or -tion). Be careful with lookalikes: question /ˈkwestʃən/ and mention /ˈmenʃən/ end in -tion but do not share the /eɪ/ vowel, and decision /dɪˈsɪʒən/ sounds different as well.
Dictionary facts from ECDICT, WIKTIONARY.