permutation

Meanings

• Noun

  An arrangement of items or numbers in various orders.

• Noun

  The act of changing the order of elements in a set.

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Variants

List of all variants of permutation that leads to same result
permutation , permutational , permutations , permutation group , permutation groups , even permutation , even permutations , odd permutation , odd permutations

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin permutare, meaning 'to change, alter'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The number of unique permutations of n items is given by the formula n!.

2. The word 'permutation' comes from the Latin word permutare, which means 'to change through'.

3. In the English language, the word 'permutation' is often used interchangeably with the term 'arrangement'.

4. Permutations are used in various fields, including mathematics, computer science, and statistics.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Combination: A combination is a selection of items from a larger set, without regard to their order. Permutations are similar, but they consider the order of selection.

2. Factorial: The factorial of a number n (denoted as n!) is the product of all positive integers less than or equal to n. Permutations are often calculated using factorials.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics, permutations are used extensively to study the properties of sets and their elements. They are also used in computer science, especially in algorithms and data structures.

How to Memorize "permutation"

1. visualize
   

   - Visualize arranging a set of objects in different orders to understand permutations.

2. associate
   

   - Associate the concept of permutations with the idea of changing orders or arrangements.

3. mnemonics
   

   - Use the mnemonic 'Please Excuse My Dear Aunt Sally' (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) to remember the order of operations in mathematics, which is similar to the order of operations when calculating permutations.

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