How Tuples can do the duty of Permutation?

Question

Please consider:

list1={0,0,0,0,0,0};
list2={1,1,1,1,1,1};

How can I access to the result of

Permutations[Flatten[{list1, list2}]]
(* {{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, 
 {0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1}, 
 {0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1}, 
  {0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1}, and so on*)

But by Tuples?

score 2 · Accepted Answer · answered Jul 24 '17 at 09:29

2

Not very efficient but straightforward

list1={0,0,0,0,0,0};
list2={1,1,1,1,1,1};
perm=Sort[Permutations[Flatten[{list1,list2}]]];
tupl=Sort[Select[Tuples[{0,1},12],Count[#,0]==6&]];
perm==tupl

True

answered Jul 24 '17 at 09:29

Vitaliy Kaurov

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It is good but I think because the code has to compute all elements in the Tuples[{0,1},12] and after that considers to Count it takes long for longer lists?! – Inzo Babaria Jul 24 '17 at 09:32
@InzoBabaria that's why I said "Not very efficient". – Vitaliy Kaurov Jul 24 '17 at 09:37
Ok thank you so much. – Inzo Babaria Jul 24 '17 at 09:41

How Tuples can do the duty of Permutation?

1 Answers1