2013 UNCO Math Contest II Problems/Problem 8
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Problem
EXAMPLE: The non-terminating periodic decimal has period three and is abbreviated by placing a bar over the shortest repeating block.
(a) If all digits through are allowed, how many distinct periodic decimals have period exactly six? Do not include patterns like and that have shorter periods.
(b) If only digits and are allowed, how many distinct periodic decimals have period exactly ?