Selecting all combinations of points

Hi there,
I have a set of points and I would like to generate a code that selects all the possible combinations (the order doesn't matter) of them.
For example, if I have a matrix with the coordinates of the points A, B, C I want to write other matrices with the coordinates extracted from the sets {}, {A}, {B}, {C}, {A,B}, {A,C}, {B,C}, {A,B,C}.
Thank you in advance for your help :)

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