Abstract
Informally, a permutation of the elements is rearrangement of those elements into a
specific order. In mathematics, the notion of the permutation is used with a little
different meaning, all related to the act of rearranging in an ordered fashion of those
elements or values. Many operations can be performed on the elements of the
permutation such as composition which is used to combine two permutations to produce
a third one. In this paper software package is implemented to generate all possible of the
permutations on a set of n elements, where the number of these possible permutations
are the factorial of n. Then composition on the permuted set is conducted. As well as
deducting some properties of the composition such as inverse of each element and
power the element that can be used to produce the identity element. Where power
element is the element has been multiplied by itself m times, where m is the power. Java
language (NetBeans IDE 7.2) is used to implement this package.
Keywords: Permutation, Composition, Power and the Inverse.