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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3.
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?
Transcribed Image Text:3. 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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