Let $h_n $be the number of regions that are created by n mutually overlapping circles in general position in the plane. What is the value of $h_{10}$?

Asked Oct 27 '21 at 09:37

Active Oct 27 '21 at 09:46

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Let $h_n$ be the number of regions that are created by $n$ mutually overlapping circles in general position in the plane. (Note that by general position, we mean that there do not exist three circles with a common point.) What is the value of $h_{10}$?

edited Oct 27 '21 at 09:46

N. F. Taussig

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asked Oct 27 '21 at 09:37

Arya Adyasha

1

Have you tried working out the values of $h_n$ for small values of $n$? – N. F. Taussig Oct 27 '21 at 09:43
Welcome to MathSE. This tutorial explains how to typeset mathematics on this site. – N. F. Taussig Oct 27 '21 at 09:47

Let $h_n $be the number of regions that are created by n mutually overlapping circles in general position in the plane. What is the value of $h_{10}$?

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