MathDB
AMC 8 2004 Problem 17

Source:

November 28, 2010

Problem Statement

Three friends have a total of 66 identical pencils, and each one has at least one pencil. In how many ways can this happen?
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 3<spanclass=latexbold>(C)</span> 6<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> 12<span class='latex-bold'>(A)</span>\ 1\qquad <span class='latex-bold'>(B)</span>\ 3\qquad <span class='latex-bold'>(C)</span>\ 6\qquad <span class='latex-bold'>(D)</span>\ 10\qquad <span class='latex-bold'>(E)</span>\ 12