Difference between revisions of "2023 AMC 10A Problems/Problem 20"
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| + | Each square in a <math>3\times 3</math> grid of squares is colored red, white, blue, or green so that every <math>2\times 2</math> square contains one square of each color. One such coloring is shown on the right below. How many different colorings are possible? | ||
| + | https://media.discordapp.net/attachments/983461753457373184/1172204507476791306/image.png?ex=655f7785&is=654d0285&hm=93918312ff6b30742eebf2e4d294bacb8228255f096a3d9513a401a273240a10& | ||
| + | <cmath>\textbf{(A) }24\qquad\textbf{(B) }48\qquad\textbf{(C) }60\qquad\textbf{(D) }72\qquad\textbf{(E) }96</cmath> | ||
| + | ==Solution 1 Overcounting== | ||
Revision as of 15:18, 9 November 2023
Each square in a 
grid of squares is colored red, white, blue, or green so that every 
square contains one square of each color. One such coloring is shown on the right below. How many different colorings are possible?
https://media.discordapp.net/attachments/983461753457373184/1172204507476791306/image.png?ex=655f7785&is=654d0285&hm=93918312ff6b30742eebf2e4d294bacb8228255f096a3d9513a401a273240a10&
![\[\textbf{(A) }24\qquad\textbf{(B) }48\qquad\textbf{(C) }60\qquad\textbf{(D) }72\qquad\textbf{(E) }96\]](http://latex.artofproblemsolving.com/0/a/0/0a0c18e02217bc9ccb4b75f12ffac7b1fffdfb0a.png)
