MathDB
Increasing Digits

Source: AMC 12 2006B, Problem 9

February 17, 2006
AMC

Problem Statement

How many even three-digit integers have the property that their digits, read left to right, are in strictly increasing order? <spanclass=latexbold>(A)</span>21<spanclass=latexbold>(B)</span>34<spanclass=latexbold>(C)</span>51<spanclass=latexbold>(D)</span>72<spanclass=latexbold>(E)</span>150 <span class='latex-bold'>(A) </span> 21 \qquad <span class='latex-bold'>(B) </span> 34 \qquad <span class='latex-bold'>(C) </span> 51 \qquad <span class='latex-bold'>(D) </span> 72 \qquad <span class='latex-bold'>(E) </span> 150