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P03 [Combinatorics] - Turkish NMO 1st Round - 2003

Source:

May 6, 2014

Problem Statement

At most how many positive integers less than 5151 are there such that no one is triple of another one?
<spanclass=′latex−bold′>(A)</span> 17<spanclass=′latex−bold′>(B)</span> 36<spanclass=′latex−bold′>(C)</span> 38<spanclass=′latex−bold′>(D)</span> 39<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 17 \qquad<span class='latex-bold'>(B)</span>\ 36 \qquad<span class='latex-bold'>(C)</span>\ 38 \qquad<span class='latex-bold'>(D)</span>\ 39 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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