MathDB
Die Problem

Source: 2023 AMC 12B #23

November 15, 2023
AMCAMC 122023 AMC2023 AMC 12BDice

Problem Statement

When nn standard six-sided dice are rolled, the product of the numbers rolled can be any of 936936 possible values. What is nn?
<spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 9<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> 11<span class='latex-bold'>(A)</span>~6\qquad<span class='latex-bold'>(B)</span>~8\qquad<span class='latex-bold'>(C)</span>~9\qquad<span class='latex-bold'>(D)</span>~10\qquad<span class='latex-bold'>(E)</span>~11