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Permutations and Combinations of a Multiset

What Type?
Permutations of a multiset in "lex" order   [IMG = Green Check]  
Permutations of a multiset in Gray Code order   [IMG = Green Check]  
Permutations of a multiset in cool-lex order [COOL]
Combinations of a multiset in "co-lex" order   [IMG = Green Check]  
Combinations of a multiset in Gray Code order   [img Red-x]  
Contigency tables   [IMG = Green Check]  

Input: Cont. Table
n1 = n2 = n3 = n4 = Row
Sums
n5 = n6 = n7 = n8 =
n9 = n10 = n11 = n12 = Column
Sums
n13 = n14 = n15 = n16 =
k =

Output:
Standard representation   [IMG = Green Check]  
Alternate representation (if applicable)   [IMG = Green Check]  
Show Gray code changes (if applicable)   [IMG = Green Check]  

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