MathDB
Product over Sum

Source: 2017 AMC 8 #5

November 22, 2017
AMC 8

Problem Statement

What is the value of the expression 123456781+2+3+4+5+6+7+8\frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8}{1+2+3+4+5+6+7+8}?
<spanclass=latexbold>(A)</span>1020<spanclass=latexbold>(B)</span>1120<spanclass=latexbold>(C)</span>1220<spanclass=latexbold>(D)</span>2240<spanclass=latexbold>(E)</span>3360<span class='latex-bold'>(A) </span>1020\qquad<span class='latex-bold'>(B) </span>1120\qquad<span class='latex-bold'>(C) </span>1220\qquad<span class='latex-bold'>(D) </span>2240\qquad<span class='latex-bold'>(E) </span>3360