Show that n circles divide the plane into n2 n + 2 regions if every two

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Show that n circles divide the plane into n2 − n + 2 regions if every two circles intersect in exactly two points and no three circles contain a common point.

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:32 PM

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Show that n circles divide the plane into n2 n + 2 regions if every two

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We will prove by induction that n circles divide the plane into n 2 n 2 regions One circle certainly ...View the full answer

Discrete Mathematics and Its Applications

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