**Assigned**: Tuesday, February 3, 1998

**Due**: Thursday, February 5, 1998

*This assignment is somewhat longer than other journal assignments.*

In problem set 3 there is a problem concerning triangles on the chessboard. An earlier version of the problem appeared in the notes of Emily Moore as

A chess board is an array of 8 x 8 squares. Count the number of triangles we can draw on the chess board whose sides lie on lines with slopes 0, infinity, 1, or -1, and whose sides pass through at least one corner point (i.e., point that is a corner of one of the original 64 squares).

Is this earlier version the same as any part of the revised version? Why or why not? How do the two problems differ? Does the way in which a problem is stated affect your interpretation of the problem? If so, how? Are there other reasons you can suggest why I may have changed the problem?

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