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…

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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…

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.

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The post 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… first appeared on Submit Your Homeworks.


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… was first posted on September 9, 2020 at 6:06 pm.
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