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2023 AMC 10A Problems/Problem 9

Revision as of 16:44, 9 November 2023 by Pi is 3.14 (talk | contribs)

A digital display shows the current date as an $8$-digit integer consisting of a $4$-digit year, followed by a $2$-digit month, followed by a $2$-digit date within the month. For example, Arbor Day this year is displayed as 20230428. For how many dates in $2023$ will each digit appear an even number of times in the 8-digital display for that date?

$\textbf{(A)}~5\qquad\textbf{(B)}~6\qquad\textbf{(C)}~7\qquad\textbf{(D)}~8\qquad\textbf{(E)}~9$


Video Solution 1 by OmegaLearn

https://youtu.be/xguAy0PV7EA

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