Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 8"
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Revision as of 17:23, 19 October 2014
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
?