MathDB
4 Distinct Digits

Source: 2015 AMC 8 #10

November 25, 2015
AMC 82015 AMC 8

Problem Statement

How many integers between 10001000 and 99999999 have four distinct digits?
<spanclass=latexbold>(A)</span>3024<spanclass=latexbold>(B)</span>4536<spanclass=latexbold>(C)</span>5040<spanclass=latexbold>(D)</span>6480<spanclass=latexbold>(E)</span>6561<span class='latex-bold'>(A) </span>3024\qquad<span class='latex-bold'>(B) </span>4536\qquad<span class='latex-bold'>(C) </span>5040\qquad<span class='latex-bold'>(D) </span>6480\qquad <span class='latex-bold'>(E) </span>6561