If you can use blocks, the most straightforward way using sortUsingComparator:
. Otherwise, you'll need to use sortUsingFunction:
.
In either case, you are going to need to write a custom block or function that takes two arrays as arguments and returns a sort order based on their contents (I'm not sure what logic you are using to determine if array A or array B is "before" or "after" the other).
You'd do something like:
static NSInteger MySorterFunc(id leftArray, id rightArray, void *context) {
... return ascending/descending/same based on leftArray vs. rightArray ...
}
Then:
[myArrayOfArrays sortUsingFunction: MySorterFunc context: NULL];