[Haskell-cafe] What is this function?

Hi, I've written this function here: scramble [] = [] scramble [x] = [[z] | z <- scramble x] scramble (x:xs) = [(y:z)|y <- scramble x, z <- scramble xs] and (I think) it roughly does what I want it to: *Main> scramble ([]::[Int]) [] *Main> scramble ([1]::[Int]) [[1],[2]] *Main> scramble ([1,2]::[Int]) [[1,1],[1,2],[2,1],[2,2]] *Main> scramble ([1,2,3]::[Int]) [[1,1,1],[1,1,2],[1,2,1],[1,2,2],[2,1,1],[2,1,2],[2,2,1],[2,2,2]] Three questions: 1. What should I call this function? 2. Is there already one in the standard library that does the same thing? 3. Is it possible to rewrite it with only "scramble []" and "scramble (x:xs)" and not the "scramble[x]"? Thanks -John