The following figure consists of 8 horizontal lines and 12 vertical lines. The goal of this problem is to count the number of rectangles (squares are a kind of rectangle, but line segments are not).
WebAssign Plot
Let V be the set of all sets of two vertical lines, and let H be the set of all sets of two horizontal lines. Let R be the set of all rectangles in the figure. Define a function
f : R → V × H
by

f
transform arrow
({AB, CD}, {AC, BD}).
Compute |R|, the number of rectangles in the figure.

Question

The following figure consists of 8 horizontal lines and 12 vertical lines. The goal of this problem is to count the number of rectangles (squares are a kind of rectangle, but line segments are not).
WebAssign Plot
Let V be the set of all sets of two vertical lines, and let H be the set of all sets of two horizontal lines. Let R be the set of all rectangles in the figure. Define a function
f : R → V × H
by
	 
f
transform arrow
 	({AB, CD}, {AC, BD}).
Compute |R|, the number of rectangles in the figure.