MathDB
AMC 8 2005 Problem 16

Source:

July 23, 2011

Problem Statement

A five-legged Martian has a drawer full of socks, each of which is red, white or blue, and there are at least five socks of each color. The Martian pulls out one sock at a time without looking. How many socks must the Martian remove from the drawer to be certain there will be 5 socks of the same color?
<spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 9<spanclass=latexbold>(C)</span> 12<spanclass=latexbold>(D)</span> 13<spanclass=latexbold>(E)</span> 15 <span class='latex-bold'>(A)</span>\ 6\qquad<span class='latex-bold'>(B)</span>\ 9\qquad<span class='latex-bold'>(C)</span>\ 12\qquad<span class='latex-bold'>(D)</span>\ 13\qquad<span class='latex-bold'>(E)</span>\ 15