Difference between revisions of "2023 AMC 10A Problems/Problem 12"

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The number <math>2017</math> is prime.  Let <math>S = \sum \limits_{k=0}^{62} \dbinom{2014}{k}</math>.  What is the remainder when <math>S</math> is divided by <math>2017?</math>
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<math>\textbf{(A) }32\qquad \textbf{(B) }684\qquad \textbf{(C) }1024\qquad \textbf{(D) }1576\qquad \textbf{(E) }2016\qquad</math>
 

Revision as of 16:27, 5 November 2023