MathDB
Product of the Numbers on a Die

Source:

January 15, 2009
least common multiple

Problem Statement

A standard six-sided die is rolled, and P P is the product of the fi ve numbers that are visible. What is the largest number that is certain to divide P P? <spanclass=′latex−bold′>(A)</span> 6<spanclass=′latex−bold′>(B)</span> 12<spanclass=′latex−bold′>(C)</span> 24<spanclass=′latex−bold′>(D)</span> 144<spanclass=′latex−bold′>(E)</span> 720 <span class='latex-bold'>(A)</span>\ 6\qquad <span class='latex-bold'>(B)</span>\ 12\qquad <span class='latex-bold'>(C)</span>\ 24\qquad <span class='latex-bold'>(D)</span>\ 144\qquad <span class='latex-bold'>(E)</span>\ 720
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