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Turkey NMO 2010 1st Round - P20 (Combinatorics)

Source:

July 26, 2012

Problem Statement

Starting from 00, at each step we take 11 more or 22 times of the previous number. Which one below can be get in a less number of steps?
<spanclass=latexbold>(A)</span> 2011<spanclass=latexbold>(B)</span> 2010<spanclass=latexbold>(C)</span> 2009<spanclass=latexbold>(D)</span> 2008<spanclass=latexbold>(E)</span> 2007 <span class='latex-bold'>(A)</span>\ 2011 \qquad<span class='latex-bold'>(B)</span>\ 2010 \qquad<span class='latex-bold'>(C)</span>\ 2009 \qquad<span class='latex-bold'>(D)</span>\ 2008 \qquad<span class='latex-bold'>(E)</span>\ 2007