Let us consider mathematical crossword which we fill with numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that:
1) All digits occur exactly twice
2) 10 horizontally divides 4 vertically
3) 4ā
(4 horizontally - 4 vertically +5) equals 1 vertically
4) 36 divides 1 horizontally and 5 vertically
5) 9 vertically divides 5 verticallyIn how many ways we can solve this mathematical crossword?https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvOC85LzgyNjUzYmNkNTVmNDE1YTg4OWVkNzAzYzE1M2JkZWE0MThiYWY1LnBuZw==&rn=Y3Jvc3N3b3JkLnBuZw== combinatoricsnumber puzzle