/sci/ - Science & Math

Hi! Are you good with combinatory?
We have 5 elements that cant be repeated:
1, 2, 3, 4 and 5
We need to know the combinations of this elements but there are 2 sets and the sets cant be repeated neither with other set with same elements. One sets has n elements and the other the rest of elements.
For example, with n = 2:
Set A | Set B
1 2 | 3 4 5 <- VALID

1 3 | 2 4 5 <- VALID
1 3 | 4 2 5 <- INVALID (same combination)
3 1 | 5 2 4 <- INVALID (same combination)

So there is a dependency between A and B and the "inside" elements of A and B.
Is this even possible to resolve with Maths?