2022 AMC 8 Problems/Problem 8

Problem

What is the value of $\frac{1}{3}\cdot\frac{2}{4}\cdot\frac{3}{5}\cdots\frac{18}{20}\cdot\frac{19}{21}\cdot\frac{20}{22}?$

$\textbf{(A)} ~\frac{1}{462}\qquad\textbf{(B)} ~\frac{1}{231}\qquad\textbf{(C)} ~\frac{1}{132}\qquad\textbf{(D)} ~\frac{2}{213}\qquad\textbf{(E)} ~\frac{1}{22}\qquad$

Solution

2022 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 7	Followed by Problem 9
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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2022 AMC 8 Problems/Problem 8

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Solution

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