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123…9 door to door (Posted on 2022-10-27) Difficulty: 3 of 5
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.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (2 votes)

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