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anonymous

  • one year ago

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.

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  1. dan815
    • one year ago
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    |dw:1433568136873:dw|

  2. dan815
    • one year ago
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    okay i think i see what u have to do now, we have to go up the rows and the columns all separetely

  3. dan815
    • one year ago
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    |dw:1433568507126:dw|

  4. dan815
    • one year ago
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    |dw:1433568932508:dw|

  5. dan815
    • one year ago
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    i wrote it out, im thinking this should be written in a double summation, and then we can look for the clsoed form http://prntscr.com/7dphg2

  6. ganeshie8
    • one year ago
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    |dw:1433570164316:dw|

  7. dan815
    • one year ago
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    |dw:1433571201069:dw|

  8. dan815
    • one year ago
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    |dw:1433572218963:dw|

  9. dan815
    • one year ago
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    http://prntscr.com/7dpoid

  10. dan815
    • one year ago
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    |dw:1433572565007:dw|

  11. dan815
    • one year ago
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    :O how is this formula in there

  12. dan815
    • one year ago
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    omg xD if we pick any 2 vertical lines and any 2 horizontal lines, we can have a unique intersection dang

  13. dan815
    • one year ago
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    whyyyyy didnnntt ii think of that sooner T_T

  14. ganeshie8
    • one year ago
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    that looks much simpler! nc2 ways to choose 2 vertical lines from n lines mc2 ways to choose 2 horizontal lines from m lines

  15. dan815
    • one year ago
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    yeah xD well this is a neat find either way lol

  16. dan815
    • one year ago
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    strange way to state it but ya

  17. dan815
    • one year ago
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    |dw:1433572930297:dw|

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spraguer (Moderator)
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