Count 'em All 8!

Discrete Mathematics Level 3

Count the number of 3\(\times\)6 rectangles in the 50\(\times\)39 grid above.

I'm lazy to draw new grids by the way.

Details and assumptions:

  • Dimensions are expressed as width\(\times\)height. Thus a 3\(\times\)6 rectangle (that is, a rectangle of width 3 and height 6) is considered to be different to a 6\(\times\)3 (width 6 height 3) rectangle, in this case, you only want the 3\(\times\)6 rectangles, not the 6\(\times\)3 ones.

This is one part of Quadrilatorics.

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