PERMUTATING Meaning and
Definition
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Permutating refers to the process of rearranging or altering the order or arrangement of a set of elements or entities. It involves changing the positions or sequence of these elements to generate different permutations. Derived from the word "permutation," permutating denotes the act of producing a new arrangement through the various possible combinations or orderings of a given set.
In mathematics, permutating is often associated with combinatorics, a field that deals with counting, arranging, and manipulating discrete objects. The term is commonly used in the context of exploring all the different ways elements can be arranged, without repetition, in a specific order. For example, given a set of three letters (A, B, and C), permutating them would involve generating all the possible arrangements like ABC, ACB, BAC, BCA, CAB, and CBA.
In computer science and programming, permutating plays a significant role in problem-solving and algorithm development. It is often used in tasks that require generating different orderings or assigning all possible configurations of a set of elements. Permutating algorithms are employed in permutations and combinations problems, graph theory, searching algorithms, and optimization strategies.
Overall, permutating involves systematically varying the arrangement or order of a set of entities to explore all possible combinations. It is a key concept in fields such as mathematics, computer science, and statistics, allowing for the analysis and generation of different configurations while providing insight into the structure and organization of objects.
Common Misspellings for PERMUTATING
- permutatin
- permutatoin
- oermutating
- lermutating
- -ermutating
- 0ermutating
- pwrmutating
- psrmutating
- pdrmutating
- prrmutating
- p4rmutating
- p3rmutating
- peemutating
- pedmutating
- pefmutating
- petmutating
- pe5mutating
- pe4mutating
- pernutating
- perkutating
Etymology of PERMUTATING
The word "permutating" is derived from the verb "permute", which comes from the Latin word "permūtāre". In Latin, "per" means "through" or "thoroughly", and "mūtāre" means "to change" or "to exchange". Thus, "permūtāre" refers to thoroughly changing or exchanging something. Over time, "permute" has been adjectivally modified to "permutating" to describe the process of permutation, which involves rearranging elements in a specific order or sequence.
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