MathDB
Largest Digit?

Source:

November 23, 2011

Problem Statement

How many 4-digit positive integers have four different digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit?
<spanclass=latexbold>(A)</span>24<spanclass=latexbold>(B)</span>48<spanclass=latexbold>(C)</span>60<spanclass=latexbold>(D)</span>84<spanclass=latexbold>(E)</span>108 <span class='latex-bold'>(A)</span>24\qquad<span class='latex-bold'>(B)</span>48\qquad<span class='latex-bold'>(C)</span>60\qquad<span class='latex-bold'>(D)</span>84\qquad<span class='latex-bold'>(E)</span>108