[akssri]

That's the story that's told in introductory texts, but the genitive generally forbids such permutations (depending on the flavor of usage in the geographical area).

There are actually only 7 kinds of सुप्s (x 3 numbers); there are about 10 तिङ्s, but only about 3-4 are in general usage. Then there are other sentence transformations outside these.

The relational modifiers "stick" to the roots, so moving words around the sentence is quite easy - this is particularly useful to poets who need to satisfy certain mathematical rules in their compositions. Much of this is also true for languages like Kannada/Hindi. There was also a paper about a KR scheme inspired by something of this kind.

Sanskrit is generally easy to pick up with the right teachers, in an immersive environment; the grammar-technique, esp. in a "sterile" environment, is rather terrible IMO.