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MATH / Each square of the three by three grid is painted so that the whole picture has…

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problem

Each square of the three by three grid is painted so that the whole picture has at least the two lines of symmetry indicated. Each grid square is painted one solid color. What is the maximum number of colors that could have been used? [asy]size(100);
draw((0,0)--(0,3)--(3,3)--(3,0)--cycle);
draw((1,0)--(1,3));
draw((2,0)--(2,3));
draw((0,1)--(3,1));
draw((0,2)--(3,2));
draw((-0.2,-0.2)--(3.2,3.2),dashed);
dot((0,0));dot((3,3)); dot((1.5,0)); dot((1.5,3));
draw((1.5,-0.3)--(1.5,3.3), dashed);
[/asy]

level

Level 4

type

Counting & Probability

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Source and history

task_id
3c58e6ca-3ca8-5bea-b65a-91da8404c48f
task_key
counting~5fand~5fprobability--test--3c58e6ca-3ca8-5bea-b65a-91da8404c48f
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import