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Generate Subsets or Combinations

What Type?
Subsets in lex order [k = max subset size]   [IMG = Green Check]  
Subsets in Gray code order   [IMG = Green Check]  
Product space in lex order   [IMG = Green Check]  
Product space in Gray code order   [IMG = Green Check]  
Combinations in lex order   [IMG = Green Check]  
Combinations in colex order   [IMG = Green Check]  
Combinations in cool-lex order [COOL]
Combinations by transpositions   [IMG = Green Check]  
Combinations by adjacent transpositions   [IMG = Green Check]  

Input:
n =
k =

Product Space Limits:
n1 =
n2 =
n3 =
n4 =
n5 =
n6 =

Output:
Bitstring representation.   [IMG = Green Check]  
List of elements.   [IMG = Green Check]  
Transposition or bit change (if applicable).   [IMG = Green Check]  
Towers of Hanoi (only applicable for Subsets in Gray code order).   [IMG = Green Check]  


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