How can I construct all fairs of points?

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

[madhan ravi]

Is that the expected output?

[Han]

the expected output is

1,1,2

2,1,3

3,2,3

4,2,1

5,3,1

6,3,2

The first colume is index.

I want to find the all fair cases.

Answer 1

[David Hill]

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