A more difficult and well-written multiple choice question is as follows:

Consider the following:

I. An eight-by-eight chessboard.
II. An eight-by-eight chessboard with two opposite corners removed.
III. An eight-by-eight chessboard with all four corners removed.

Which of these can be tiled by two-by-one dominoes (with no overlaps or gaps, and every domino contained within the board)?

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III