Permutation and Combination


Permutation means arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting. These differ from combinations, which are selections of some members of a set where order is disregarded. For example, written as tuples, there are six permutations of the set {a,b,c}, namely: (a,b,c), (a,c,b), (b,a,c), (b,c,a), (c,a,b), and (c,b,a). These are all the possible orderings of this three element set.