Post Closed as "too localized" by Andrey Rekalo, Will Jagy, Harald Hanche-Olsen, Yemon Choi, Qiaochu Yuan

By discrete set, I mean sorting a given number of items into different orders, so that no two sets are alike.

Example, 4 items:

1234
3142
2413
4321


It seems related to a "derangement", but is more specific. So maybe there's a specific term for this, besides "discrete set", which is all I could think of.

EDIT:

Now that I'm looking at latin squares, the following example of a latin square actually repeats sequences between columns (such as 34, 21, 43), whereas my example above does not.

1234
2143
3412
4321


Is my non repeating example a particular kind of latin square or is that not distinguished from other latin squares which repeat sequences?

1

# Another name for a discrete set?

By discrete set, I mean sorting a given number of items into different orders, so that no two sets are alike.

Example, 4 items:

1234
3142
2413
4321


It seems related to a "derangement", but is more specific. So maybe there's a specific term for this, besides "discrete set", which is all I could think of.