The following figure consists of 7 horizontal lines and 13 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).

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?({AB, CD}, {AC, BD}).

Compute |R|, the number of rectangles in the figure.

The following gure consists of 7 horizontal lines and 13 vertical lines. The goal of Hiis problem is to count Hie number of rectangles (squares are a kind of rectangle, but line segments are not) . Let V be Hie set of all sets of two vercal lines, and let H be Hie set of all sets of two horizontal lines. Let R be Hie set of all rectangles in Hie gure. Dene a funcljon f: R ! V x H by A C f H ({AB. CD}. {Ac EDD- B D Compute IRI , Hie number of rectangles in Hie gure. E 'thniiAnIumsl | \\ Ranpnimnctl | Inmmunmi