Yes, it appears to want you to consider all types of symmetry.
All White - Only one way to do that.
All Black - Only one way to do that.
One White (same thing as 7 black) - You can paint any one of the 8 surfaces, but various symmetries show they are all the same. - Just one distinct way.
One Black (7 white) - Again, just one.
Two White (6 black) -- What say you? More than one distinct way?