I've got certain letters and I need to make words out of them

You know how in Word or some other program if you start typing a word the computer comes up with all the possible words you could be typing and displays them (sort of)? I basically am making a program that does that.
So I've got "aek_sla_asdg_ojw..." where each group (group as in letters separated by _ ) can be arranged in anyways possible to come up with a word. I thought of putting each group of characters into one a vector of a multidimensional array, but then the array would have as many vectors as there would be groups and that would be too big!
I don't expect any complete solutions to my problem, but if anyone knows the name of an algorithm or name of what this kind of problem is called and could tell me that would be great.
I know in math this would have to do with permutations. In Java how would someone obtain all the permutations of a set?
Edited by: bean-planet on Nov 23, 2008 8:34 PM

morgalr wrote:
Not so--there is a yarn made of yack hair, it starts with a Q and has a U in it, but no apostrophe. There are also others. In the native tongue of the people that use it, it could be 2 words, but not in the English dictionary--and in games of words, it is the standard English dictionary that makes the ruling (well, if you are using English).
Here is a list with Q, but no U:
http://boardgames.about.com/od/scrabble/a/q_without_u.htm
With Q not followed by U, some having a U:
http://en.wikipedia.org/wiki/List_of_English_words_containing_Q_not_followed_by_U
Most obvious: burqa

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