How Do You Spell PERMUTATION?

Pronunciation: [pˌɜːmjuːtˈe͡ɪʃən] (IPA)

The word "permutation" is spelled exactly as it sounds. It is pronounced /pərmyo͞oˈtāSHən/ in IPA phonetic transcription. The "per" is pronounced like "pur", the "mut" is pronounced like "myut", the "a" is a schwa sound, and the "tion" is pronounced like "shun". The word refers to the act of rearranging a set of objects or values in a specific order. It is commonly used in mathematics and computer science to refer to the different ways in which elements can be ordered or combined.

PERMUTATION Meaning and Definition

1. A permutation refers to a mathematical concept that represents an arrangement or reordering of elements or objects in a particular order. It is a combinatorial technique that involves rearranging the order of items without repetition.

   In a permutation, the order of elements matters, and each element can only be used once. To illustrate, consider a set of six distinct objects {A, B, C, D, E, F}. A permutation of this set can take different forms, such as ABCDEF, CBAFED, FEDCBA, and so on. Each permutation represents a unique arrangement that differs in the order of elements.

   The number of permutations possible for a given set of distinct elements can be determined using the factorial function. The factorial of a number is calculated by multiplying all the positive integers up to that number. For instance, if there are six distinct elements, the number of permutations would be 6! (6 factorial), which equals 720.

   Permutations are widely used in various fields, including mathematics, computer science, statistics, and cryptography. They serve as fundamental concepts in understanding the number of possible outcomes and arranging objects in a specific order. Whether in solving complex mathematical problems or designing efficient algorithms, the concept of permutations plays a significant role in many areas of study and application.

2. The successive changing or varying the arrangement of letters or things in every possible order; a rule in algebra and in arithmetic.

   Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.

Common Misspellings for PERMUTATION

• persstation
• fermetation
• permutatons
• parmutation
• permittion
• permiation
• Purpotation
• permutateed
• permutatingg
• permutasion
• permatation
• Supersemithation
• Parratation
• Permutatble

Etymology of PERMUTATION

The word "permutation" originated from the Latin terms "per" which means "through" or "thoroughly", and "mutare" which means "to change or alter". The term "permutare" in Latin means "to change thoroughly". The word "permutation" was introduced into English in the 14th century, derived from Old French "permutacion", which in turn came from Latin.

Similar spelling words for PERMUTATION

• Permutable,
• permeating,
• permeation,
• perennation,
• permitting of,
• permutability,
• permutableness,
• permitted,
• permeate,
• permeated.

Plural form of PERMUTATION is PERMUTATIONS