PERMUTATION

Etymology

The term 'permutation' originates from the Latin word 'permutatio,' meaning 'change thoroughly.'

Definition

Permutation refers to a major or fundamental change based on rearrangement of elements, resulting in a new form or variety. It can also mean the act of permuting or altering the order of a set.

Historical Context

Permutations have been extensively studied in mathematics, particularly in combinatorics and group theory, dating back to ancient times.

Cultural Significance

Permutations are used in various fields such as cryptography, music theory, and computer science to solve problems and create new arrangements.

Related Concepts

Permutations are closely related to combinations, which involve selecting elements without considering the order.

See Also

• Combination
• Group theory
• Combinatorics