Consider the sequence of 9 non zero distinct digits arranged in a 3 by 3 grid , like
547
398
162
Clearly there are 9! (=362880) ways to do it.
If we demand that the consecutive numbers are next-door neighbours
( horizontally or vertically) like
167
258
349
then the number is significantly lower, say N.

Find N & provide your reasoning.

(In reply to re: My KISS solution by Steve Herman)

Thx.

Posted by Ady TZIDON on 2022-11-05 09:54:03