Three different circles are drawn in the same plane. What is the greatest number of points at which at least two of these circles can intersect?

Question

vocaloid · Answer

hm, I'm not sure if there's an intuitive way to solve this, but...

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vocaloid · Answer

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vocaloid · Answer

gives me 6 points of intersection

anonymous · Answer

Oh okay so basically you have to draw it out to solve?

vocaloid · Answer

well, that's how I would try it. the highest number I can get is 6, unless someone can prove me wrong? haha

@ganeshie8

anonymous · Answer

That's okay! It makes sense to me now, thank you so much!! :)

ganeshie8 · Answer

I'd do the same. 6 is what im getting too..

anonymous · Answer

Alright! Thank you!