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Find all such positive integers $n\geq2$ that there exists a set of n points on a plane, every one of which lies outside of some circle containing all the other points and having the center in one of these points.

Could you please help me? I don't even understand how am I supposed to create such a circle... As "every one of which lies outside of some circle", how, at the same time, the circle can contain "all the other points"?

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    "and having the middle in one of them" dangles in your sentence. There's something in one of the points?2011-11-28
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    What does "having the middle in one of them" mean? Does middle mean centre? To what kind of object does "them" refer?2011-11-28
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    Sorry for the confusion, changed.2011-11-28
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    Could you respond on whether I decrypted the task correctly2011-11-29
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    Oh, sorry, forgot about it... Yes, I believe you understood it correctly. Thank you.2011-11-29

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