I guess only to make compounds so that all of (1 2), (3 4), (1 3) and (2 4) could have some meanings is not so hard, and I think there are such questions both as a game and as entrance exam for some private junior high schools: in a form not to make up compounds from nothing but to fill in a blanc in which you're given the other set of kanji. But I'm afraid that there is no theoretical solutions to make up a set so that both (1234) and (2413) could form a meaningful compound. I'm not sure.