A banking system requires Personal Identification Numbers (PINs) that satisfy the following constraints. (1) Must consist of only decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (2) Must have length at least 5, and at most 8. (3) Must not be the customer's birth date. (Here, a birth date would be encoded as a 6 digit number, so for instance May 3, 1998 would be 050398) How many different valid PINS are there?

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