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Math Help - Colours

  1. #1
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    Colours

    on another thread now
    Last edited by Aquafina; June 10th 2009 at 06:58 AM.
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  2. #2
    Junior Member bebrave's Avatar
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  3. #3
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    how does this help me? sorry i didnt understand that
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  4. #4
    Junior Member bebrave's Avatar
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    Solution
    Look at two adjacent rows, A and B. Suppose row A has
    r red dots beside red dots in B,
    b blue dots beside blue dots in B,
    u red dots beside blue dots in B and
    v blue dots beside red dots in B.
    Then there are r red and b blue segments joining elements of A to elements of B.
    A has r + u red dots and b + v blue dots, while B has r + v red dots and b + u blue dots. We get
    that r+u = b+v and r+v = b+u. Rearranging, we get r−b = v −u = −(v −u); in other words,
    r − b = 0, or r = b.
    Hence between adjacent rows, the number of red segments equals the number of blue segments.
    The same is true for adjacent columns. Thus the total number of blue segments is equal to the
    total number of red segments, as desired.
    solution does not belong to me..I saw already in forum...i like it so I added to my archive..Thanks to the person who solved...
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  5. #5
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    doesnt it look like this?
    Attached Files Attached Files
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  6. #6
    Junior Member bebrave's Avatar
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    yeah
    shape like this
    blue---blue,red---red
    red---red,blue---blue
    blue---blue,red---red
    red---red,blue---blue
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  7. #7
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    but in this one each time the colour on a row is alternate to the previous one, in yours they are at random order?
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