Independently rotating cubelets of a 2 x 2 rubiks cube?

Question

I was reading up on 2 x 2 Rubik's cube. Wikipedia says that

Any permutation of the eight corners is possible (8! positions), and seven of them can be independently rotated (37 positions).

I cannot visualize the second half of this statement. Can somebody please help?

Answer 1

Each corner consists of three faces. The second statement means that seven of the corners can themselves be "rotated" so that the faces are pointing in whatever direction you prefer, without forcing you to change anything else about the other corners.