Question

A square board was attached to a wall. The board was divided by four squares, and each square was colored either black or white. How many possible combinations of such coloring are there if we can rotate the given board about its center?

Option 1: 8 combinations
Option 2: 12 combinations
Option 3: 16 combinations
Option 4: 4 combinations

Answer 1

The number of possible combinations of coloring a square board divided into four squares, where each square can be either black or white, is 16.

Step-by-step explanation:

A square board divided into four squares can be colored either black or white. The question asks how many possible combinations of such coloring there are if we can rotate the board about its center. To solve this problem, we can start by considering the number of possible colorings for one square. Since there are two colors (black and white), there are 2 choices for each square. Therefore, the total number of possible combinations is equal to 2 raised to the power of 4 (since there are 4 squares). This gives us 16 combinations. So, the correct answer is Option 3: 16 combinations.