MATLAB: How to construct all fairs of points

MATLAB

For example, there are points and fairs of the points.
points = [(1:10); 100*rand(2,10)]';
fairs = [(1:17); floor(1:0.5:9); ceil(2:0.5:10)]';
But, the fairs are not all fairs of points. It shows only 17 random fairs.
How can I construct the fairs of the all points?
For example I want to construct the following fairs for three points.
1,2
1,3
2,3
2,1
3,1
3,2

Best Answer

a=nchoosek([1 2 3],2);
b=[a; fliplr(a)];
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