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Source: 2018 AMC 8 #2

November 20, 2018
AMC 82018 AMC 8

Problem Statement

What is the value of the product(1+11)(1+12)(1+13)(1+14)(1+15)(1+16)?\left(1+\frac{1}{1}\right)\cdot\left(1+\frac{1}{2}\right)\cdot\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{4}\right)\cdot\left(1+\frac{1}{5}\right)\cdot\left(1+\frac{1}{6}\right)?
<spanclass=latexbold>(A)</span>76<spanclass=latexbold>(B)</span>43<spanclass=latexbold>(C)</span>72<spanclass=latexbold>(D)</span>7<spanclass=latexbold>(E)</span>8<span class='latex-bold'>(A) </span>\frac{7}{6}\qquad<span class='latex-bold'>(B) </span>\frac{4}{3}\qquad<span class='latex-bold'>(C) </span>\frac{7}{2}\qquad<span class='latex-bold'>(D) </span>7\qquad<span class='latex-bold'>(E) </span>8