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2018 AMC 10B Problems/Problem 14

Revision as of 16:23, 16 February 2018 by Cardinals2014 (talk | contribs) (Created page with "A list of <math>2018</math> positive integers has a unique mode, which occurs exactly <math>10</math> times. What is the least number of distinct values that can occur in the...")
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A list of $2018$ positive integers has a unique mode, which occurs exactly $10$ times. What is the least number of distinct values that can occur in the list?

$\textbf{(A)}\ 202\qquad\textbf{(B)}\ 223\qquad\textbf{(C)}\ 224\qquad\textbf{(D)}\ 225\qquad\textbf{(E)}\ 234$

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