MathDB
2010 AMC 8 #25

Source:

May 22, 2011
probabilitycomplementary counting

Problem Statement

Everyday at school, Jo climbs a flight of 66 stairs. Joe can take the stairs 1,21,2, or 33 at a time. For example, Jo could climb 33, then 11, then 22. In how many ways can Jo climb the stairs?
<spanclass=latexbold>(A)</span> 13<spanclass=latexbold>(B)</span> 18<spanclass=latexbold>(C)</span> 20<spanclass=latexbold>(D)</span> 22<spanclass=latexbold>(E)</span> 24 <span class='latex-bold'>(A)</span>\ 13 \qquad<span class='latex-bold'>(B)</span>\ 18\qquad<span class='latex-bold'>(C)</span>\ 20\qquad<span class='latex-bold'>(D)</span>\ 22\qquad<span class='latex-bold'>(E)</span>\ 24