Count 'em All 7!

Discrete Mathematics Level 1

Count the total number of 3\(\times\)2 rectangles in the 5\(\times\)5 grid above.

Details and assumptions:

  • Dimensions are expressed as width\(\times\)height. Thus a 3\(\times\)2 rectangle (that is, a rectangle of width 3 and height 2) is considered to be different to a 2\(\times\)3 (width 2 height 3) rectangle, in this case, you only want the 3\(\times\)2 rectangles, not the 2\(\times\)3 ones.

This is one part of Quadrilatorics.

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