all possible combinations of vector lists

I have a list of vectors and I want to get a list of all possible combinations between the elements of each vector, i.e. combinations of n elements (from a vector) taken two or more at a time.

For example, I have the following list:

> DF
$`1`
   A B   C
1 11 2 432

$`2`
   A B   C
2 11 3 432

$`3`
   A B   C
3 13 4 241

Here is my code:

> d=list()
>   for (j in 1:length(DF)){
+     for (i in 2:length(DF)){
+       d[[j]]=combn(DF[[j]],i,simplify=F)
+     }
+   }
> d
[[1]]
[[1]][[1]]
   A B   C
1 11 2 432

[[2]]
[[2]][[1]]
   A B   C
2 11 3 432

[[3]]
[[3]][[1]]
   A B   C
3 13 4 241

This is wrong because I can only get the combination of three elements of three at the same time. I will have to add combinations of three elements, two at a time. I just get the last loop value. This is a problem with the inner size of the loop.

If I just run the loop for i=2, I get:

> d
[[1]]
[[1]][[1]]
   A B
1 11 2

[[1]][[2]]
   A   C
1 11 432

[[1]][[3]]
  B   C
1 2 432


[[2]]
[[2]][[1]]
   A B
2 11 3

[[2]][[2]]
   A   C
2 11 432

[[2]][[3]]
  B   C
2 3 432

....