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Turkey NMO 2010 1st Round - P08 (Combinatorics)

Source:

July 26, 2012

Problem Statement

What is the sum of the digits of the first 20102010 positive integers?
<spanclass=′latex−bold′>(A)</span> 30516<spanclass=′latex−bold′>(B)</span> 28068<spanclass=′latex−bold′>(C)</span> 25020<spanclass=′latex−bold′>(D)</span> 20100<spanclass=′latex−bold′>(E)</span> None <span class='latex-bold'>(A)</span>\ 30516 \qquad<span class='latex-bold'>(B)</span>\ 28068 \qquad<span class='latex-bold'>(C)</span>\ 25020 \qquad<span class='latex-bold'>(D)</span>\ 20100 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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