This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 1

2016 AIME Problems, 12
Tags: AMC , AIME , AIME II , LotR , ogre
The figure below shows a ring made of six small sections which you are to paint on a wall. You have four paint colors available and will paint each of the six sections a solid color. Find the number of ways you can choose to paint each of the six sections if no two adjacent section can be painted with the same color. [asy] size(3cm); draw(unitcircle); draw(scale(0.6)*unitcircle); for(int i = 0; i < 6; ++i){ draw(dir(60*i)--0.6*dir(60*i)); } [/asy]