SL-Mark: Would you show me your five 1s and I'll show you where one of my 5s is located?

I wouldn't. First because you know five of my pieces and I would only know one, but also because you know all of one sort: you know all of my 1s, so none of my other pieces can be a 1. I would only know one of your 5's, so I cannot conclude anything about the rest of your pieces.