Referring to the original diagram, the four stamps may be given in the shape 1, 2, 3, 4, in three ways; 
in the shape 1, 2, 5, 6, in six ways; 
in the shape 1, 2, 3, 5, or 1, 2, 3, 7, or 1, 5, 6, 7, or 3, 5, 6, 7, in twenty-eight ways; 
in shape 1, 2, 3, 6, or 2, 5, 6, 7, in fourteen ways; 
in shape 1, 2, 6, 7, or 2, 3, 5, 6, or 1, 5, 6, 10, or 2, 5, 6, 9, in fourteen ways. 

Thus there are sixty-five ways in all.