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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Possible codes are: 1352 , 1425 , 1524
5314, 5241, 5142
2413, 2415, 2513, 2514 , 2531
4253, 4251, 4153, 4152, 4135
3142, 3152, 3514, 3524