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A certain identification number is a sequence of five digits. (a) How many identification numbers are...



A certain identification number is a sequence of five digits.

(a) How many identification numbers are possible?
numbers

(b) How many of them begin with either 023 or 003?
numbers

(c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-45 is permitted, but 123-34 is not.)
numbers

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