Difference between revisions of "2023 AMC 10A Problems/Problem 20"
Technodoggo (talk | contribs) |
|||
| Line 1: | Line 1: | ||
Each square in a <math>3 x 3</math> grid of sqaures is colored red, white, blue or green so every <math>2 x 2</math> sqare contains one sqaure of each color. One such coloring is shown below(help me with the picture). How many diffrent colorings are possible? | Each square in a <math>3 x 3</math> grid of sqaures is colored red, white, blue or green so every <math>2 x 2</math> sqare contains one sqaure of each color. One such coloring is shown below(help me with the picture). How many diffrent colorings are possible? | ||
| + | |||
| + | Solution 1. | ||
| + | |||
| + | WLOG, we start with the TL grid, we have 4 options. Then three adjacent grids have 3,2,1 options. | ||
| + | |||
| + | |||
| + | Tecnodoggo~ | ||
Revision as of 19:59, 9 November 2023
Each square in a 
grid of sqaures is colored red, white, blue or green so every 
sqare contains one sqaure of each color. One such coloring is shown below(help me with the picture). How many diffrent colorings are possible?
Solution 1.
WLOG, we start with the TL grid, we have 4 options. Then three adjacent grids have 3,2,1 options.
Tecnodoggo~
