How to count RGB or HSV channel combination in an image?

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You could use np.unique with its new axis argument functionality that does grouping –

np.c_[np.unique(im.reshape(-1,3), axis=0, return_counts=1)]

Sample run –

In [56]: im
Out[56]: 
array([[[255, 255, 255],
        [255,   0,   0]],

       [[255,   0, 255],
        [255, 255, 255]]])

In [57]: np.c_[np.unique(im.reshape(-1,3), axis=0, return_counts=1)]
Out[57]: 
array([[255,   0,   0,   1],
       [255,   0, 255,   1],
       [255, 255, 255,   2]])

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