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Math Help - Basic calculation for all you Math legends - please help

  1. #1
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    Basic calculation for all you Math legends - please help

    OK,

    I've got a question which is mega complicated for me, however thought if anyone could help it would be you guys.

    I am going to be submitting an article to say 2000 article directories, now to get maximum exposure from the search engines, the article needs to be as unique as possible. Now lets say that the % of uniqueness I am going for, is 40% unique.

    Lets say I have 20 different sentences and for each sentence there are 5 different options, so 20 x 5. The variables of the article get choosen completely at random, so taking this into account what are the odds/% that I will get a 40% unique article each time?

    Having a formula would be great, because then I would be able to work out whether I need to increase sentences and options for sentences.

    Thanks in advance.

    Adam
    Last edited by mr fantastic; March 29th 2010 at 02:34 AM.
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  2. #2
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    I am not sure if I am helping, but what does it mean for an article to be 40% unique? I don't think I know the definition.
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  3. #3
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    40% unique means that an article has to be at least 40% unique compared to other articles.
    PR: wait... I: wait... L: wait... Cached: wait... LD: wait... I: wait...wait... Rank: wait... Traffic: wait... Price: wait... C: wait...

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  4. #4
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    40% unique means that an article has to be at least 40% unique compared to other articles.
    Sorry, I am still not sure about the definition. Let's define an article as a sequence \langle x_1,\dots,x_{20}\rangle with x_i\in\{1,2,3,4,5\}. What does it mean for an article a to be at least n% unique compares to a set A of other articles? Does it mean that at least 8 elements of the sequence have to be different from the corresponding elements of other articles? Then does it mean that no other article has, for example, a given x_1, and no other article has a given x_2, and so on until x_8? Or no other article has given x_1,\dots, x_8 together? Or maybe this means that the given article must differ from every other article in at least 8 positions?

    Moreover, does the answer not depend on the total number of articles? You mentioned the number of directories, but not the number of articles in each of them. It may seem that the more articles there is, the harder it would be to come up with a 40%-unique one...
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