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## Transform Your Vocabulary!

permutation

## IPA:

# Dictionary definition of **permutation**

The arrangement or rearrangement of items, elements, or objects in a specific order or sequence.

"Every **permutation** of the ingredients changed the flavor of the dish."

## Detailed meaning of **permutation**

It represents a distinct variation or different order in which a set of elements can be arranged. Permutations are commonly encountered in mathematics and combinatorics, where they are used to calculate the number of possible arrangements or orders for a given set of items. For instance, if you have a set of three different objects (A, B, C), there are six possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are essential in various fields, including probability theory, cryptography, and computer science, where they are used to solve problems related to ordering and arranging elements in different ways. They provide a fundamental concept for understanding and solving various combinatorial problems.

## Example sentences containing **permutation**

1. The **permutation** of these numbers creates a unique sequence.

2. The software checks every possible **permutation** of the code.

3. In mathematics, **permutation** and combination are fundamental concepts.

4. The artwork was a **permutation** of colors and shapes.

5. This puzzle has too many permutations for me to solve quickly.

6. Which **permutation** of the team will lead to the best result?

## History and etymology of **permutation**

The noun '**permutation**' has its roots in Latin, derived from 'permutatio,' which combines 'per-' (completely) and 'mutatio' (change or alteration). It entered the English language in the late 14th century. '**Permutation**' refers to the arrangement or rearrangement of items, elements, or objects in a specific order or sequence, typically involving all possible variations or combinations. The etymology of '**permutation**' effectively conveys the idea of a complete change or alteration in the arrangement, emphasizing the process of altering the order or sequence of elements systematically. Whether it's permutations in mathematics, permutations of ideas, or permutations of variables in science, this term underscores the concept of systematic transformation and exploration of all possible orders or arrangements.

## Further usage examples of **permutation**

1. We'll need to consider each **permutation** before making a decision.

2. The dance was a stunning **permutation** of movement and rhythm.

3. This **permutation** seems to be the most efficient configuration.

4. The encryption relies on a **permutation** of alphabets.

5. For every **permutation**, there's a unique outcome.

6. The genetic **permutation** of that species remains a mystery.

7. Only one **permutation** will unlock the treasure chest.

8. Their new song is a refreshing **permutation** of their classic style.

9. How many permutations can we create with these five objects?

10. A slight **permutation** in the procedure yielded dramatically different results.

11. The director sought a new **permutation** for the stage setup.

12. Each **permutation** represented a shift in our strategy.

13. This new design is an unexpected **permutation** of traditional elements.

14. The **permutation** of those elements results in a unique pattern.

15. Mathematics often deals with the concept of **permutation**.

16. DNA's **permutation** is a fundamental factor in genetic diversity.

17. The puzzle challenges you to find every possible **permutation**.

18. The artist explored the many colors' **permutation** possibilities.

19. Code-breaking involves deciphering complex permutations.

20. Music composition requires creativity in melodic permutations.

21. Chess players study various permutations of moves.

22. Each **permutation** of numbers yielded distinct results.

23. In cryptography, **permutation** is a key concept.

24. Understanding the **permutation** of ingredients leads to diverse recipes.

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Accuracy and Precision, Scientific and Methodical, Convoluted and Cryptic, Order and System, Arrangement and Order

combination

alteration,modification,rearrangement,reordering,shuffle,switch,variation

**Synonyms for permutation**

## Quiz categories containing **permutation**

rearrangement, stagnation, constancy, immobility

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