Say I have a list of n elements, I know there are n! possible ways to order these elements. What is an algorithm to generate all possible orderings of this list? Example, I have list [a, b, c]. The algorithm would return [[a, b, c], [a, c, b,], [b, a, c], [b, c, a], [c, a, b], [c, b, a]].
I'm reading this here
http://en.wikipedia.org/wiki/Permutation#Algorithms_to_generate_permutations
But Wikipedia has never been good at explaining. I don't understand much of it.