Brilliant Codes

Discrete Mathematics Level pending

The first Bank of Baqir requires each customer to choose the code comprising four distinct digits from 1 to 5, inclusive, where the positive difference between any two consecutive digits must be at least 2. How many such codes are possible ? The Average Code made by Baqir's Bank is 35 % to its outcome. Average Bank's outcome is 3000 / 30 min ?

Hint : Ignore unnecessary information !!!

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