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.
Arranging 9 non-zero distinct digits in a 3 by 3 grid is not just a fun mathematical exercise but also a great way to challenge our minds and explore patterns. The possibilities are endless, and the pursuit of finding the perfect arrangement can lead to moments of pure joy and accomplishment. Remember, at
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