How are such tasks solved?

Question

Algorithms

Hello!
There is a task:

In rows, columns and diagonals, the sum of the numbers should be equal to 6. Domino bones can be rotated 180 degrees.
It is interesting to solve the problem programmatically.
Tell me, please, what to read / from which side to approach the solution of the problem.

Answer 1

Branch of mathematics: Combinatorics