There are 81 possible sequences of four notes played on
the first three open strings.

Below is a PDF of these 81 sequences, arranged in a random
order.

You can use it as a basis for devising exercises which include
the thumb.  For example, (assuming Baroque lute) alternating the 
thumb between the fourth course and the tenth course.

Let me know if you'd like modifications.  Possibilities
include

   putting the letters above the ledger lines instead of on
   them, and

   shifting the margins to accomodate three-ring punch holes.

The URL is

https://classwk.pw/auxDocs/lute_all_combos_4_notes_3_strings.pdf

-- HW



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