Dr. Edgar,

So what exactly is a permutation group. I am trying to figure out what an alternating group is but I have yet to even figure out what my operation is? I know what my set is but I don't know my operation and I think it has to do something with the fact that everywhere I look it says it is a permutation group. Is the permutations the number of times a number can be "alternated" with another number in the set? ie. swapped? Also, is there a set number of permutations allowed in the A5 set? Sorry for all the questions but this is burning me up right now. Thanks.

Josh