permutation - Master This Word
Master this word with our 5-step learning method – Learn English in English
permutation Word Meanings
- a rearrangement of elements in a set
- an arrangement or ordering of something
- a complete change or transformation
permutation Example Sentences
Example sentences are the start of understanding. Don't rush to memorize. First feel how the word works in a sentence.
permutation Phonetic & Pronunciation
UK
/pɜːmjʊˈteɪʃən/
US
/pɜrˌmjuˈteɪʃən/
permutation Word Etymology
Root: 'per-' (through) + 'mutare' (to change). Origin: Latin → Old French → English. Memory image: Imagine a theater stage where actors are permuted into different roles, changing the entire performance with each switch.
Note 1: These definitions and etymologies are not standard dictionary definitions, but extended explanations provided to help with memorization and understanding of the actual application of words. Through this background information, we strive to make words more vivid and easier to understand, and help you remember their meanings in real life.
Note 2: LexiTalk designs the learning flow around the linguistics principle of “Comprehensible Input.” When learners encounter material that is slightly above their level but still understandable from context, the brain naturally absorbs the language. That’s why we keep every word inside authentic contexts, using examples and associations to help you understand it and use it flexibly.
Read the FAQ explanation of Comprehensible InputReal Context
Permutation is a noun with several related senses. In mathematics, it means a rearrangement of elements in a set, counting all possible orderings. In everyday use, it can refer to the order or arrangement of things, such as seats, tasks, or a lineup. Colloquially, the phrase "a complete permutation" can imply a dramatic change of form or function, a total transformation of a system or process. The word comes from Latin per- (through) and mutare (to change), via Old French into English. A vivid memory image is a theater stage where actors are permuted into different roles, changing the entire performance with each switch.
Usage Reminders
- Permutation focuses on order, not just the presence of elements.
- Different from a combination, where order does not matter.
- In math, careful with n! as the count of all orderings.
- Use permutation when describing a rearrangement or shift of positions.
- Remember practical examples like seating charts or task lists.
Common Misconceptions
- Confusing permutation with combination
- Thinking permutation means only a large, dramatic change
- Using permutation to mean any transformation without regard to order
- Mistaking 'permuted' for 'permutation' in noun form
- Forgetting that permutation is specifically about order
Thinking Differences
This concept is about order and arrangement, not just any change. English speakers often mix up permutation with transformation verbs like change or convert, so focus on the sequence of items, not the mere fact of change.
Learning Tips
- Compare permutation with sequence swaps to see how order matters
- Practice listing all orderings of small sets (3 or 4 items)
- Differentiate permutation from combination by emphasizing order
- Relate to real-world tasks like seat plans or ranking lists
- Remember the etymology to reinforce the through/change idea
- Use diagrams to visualize rearrangements
5-Step Learning Method - Learn English in English
Step 1: Meaning
What is the meaning of 'permutation'?
A.A rearrangement of elements in a particular order
B.A type of potion used in witchcraft
C.A mathematical operation that involves addition
D.A disorder in a sequence of events
Step 2: Usage
Which sentence uses 'permutation' correctly?
A.After the latest permutation, the results were unexpectedly worse.
B.She made a permutation of the minerals and used them in her experiment.
C.His permutation of strategies led to a significant victory in the competition.
D.The chef decided to use a permutation of ingredients for the new recipe.
Step 3: Similar Words
Which word is most similar to 'permutation'?
A.Magnitude
B.Index
C.Combination
D.Diversity
Step 4: Opposite Words
What is the opposite of 'permutation'?
A.Chaos
B.Repetition
C.Disorder
D.Stability
Step 5: Mastery
Can you think of a real-life context where 'permutation' is applicable?
A.In December, the teams will play in a different order than before.
B.The athletes followed the same training schedule every day.
C.When planning the event, the organizers featured many different configurations.
D.The lineup for the concert was changed to include new bands.
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