Difference between revisions of "2025 AIME II Problems/Problem 3"
(Created page with "==Problem== Four unit squares form a <math>2 \times 2</math> grid. Each of the <math>12</math> unit line segments forming the sides of the squares is colored either red or blu...") |
(→Problem) |
||
| Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
Four unit squares form a <math>2 \times 2</math> grid. Each of the <math>12</math> unit line segments forming the sides of the squares is colored either red or blue in such a say that each unit square has <math>2</math> red sides and <math>2</math> blue sides. One example is shown below (red is solid, blue is dashed). Find the number of such colorings. | Four unit squares form a <math>2 \times 2</math> grid. Each of the <math>12</math> unit line segments forming the sides of the squares is colored either red or blue in such a say that each unit square has <math>2</math> red sides and <math>2</math> blue sides. One example is shown below (red is solid, blue is dashed). Find the number of such colorings. | ||
| + | |||
| + | == Solution == | ||
Revision as of 22:00, 13 February 2025
Problem
Four unit squares form a 
grid. Each of the 
unit line segments forming the sides of the squares is colored either red or blue in such a say that each unit square has 
red sides and blue sides. One example is shown below (red is solid, blue is dashed). Find the number of such colorings.
