How can I obtain all possible combinations of a given vector

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subhashree priyadarshini 2020-10-2

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评论： subhashree priyadarshini 2020-10-2

采纳的回答： Stephen23

I have a vector A=[1 1 1 0 0 1 1]. I want all the possible combinations as following....

A=[1 1 1 0 0 0 0; 1 1 0 0 0 1 0; 1 1 0 0 0 0 1; 0 1 1 0 0 1 0; 0 1 1 0 0 0 1; 0 1 0 0 0 1 1]

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Stephen23 2020-10-2

编辑：Stephen23 2020-10-2

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Why is

0 1 0 0 0 1 1

included, but

0 0 1 0 0 1 1
1 0 0 0 0 1 1

are excluded?

Although you write in your question that you want "all combinations", it seems that you actually want a subset of the combinations, but so far the rules to derive that subset are not clear to me.

subhashree priyadarshini 2020-10-2

Sir for my problem I need the second element of each row or column must be 1. Thats why I want to exclude the following rows...

0 0 1 0 0 1 1;

1 0 0 0 0 1 1;

1 0 1 0 0 0 1;

1 0 1 0 0 1 0;

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采纳的回答

Stephen23 2020-10-2

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Brute force, not particularly efficient:

>> A = [1,1,1,0,0,1,1];
>> P = unique(bsxfun(@and,A,unique(perms(A),'rows')),'rows');
>> P(sum(P,2)~=3,:)=[]
P =
0  1  0  0  1  1
1  0  0  0  1  1
1  1  0  0  0  1
1  1  0  0  1  0
0  0  0  0  1  1
0  1  0  0  0  1
0  1  0  0  1  0
1  0  0  0  0  1
1  0  0  0  1  0
1  1  0  0  0  0