I'm curious...
- Why do you need these "Variant permutations" ? ... is there a practicle use for this, or are you just interested from a theoreticaly standpoint?
- Why are you limiting yourself to (what i would call) "permutation prefixes" ?
If you asked me to "to report the partial permutation of the values...
a b c
1 2 3
x y z
...my list would include "ax", "1x", "1", "x", etc.
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