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2022 AMC 8 Question 8

AMC8 · 2022 AMC 8

Question 8

What is the value of:

$$
\dfrac{1}{3} \cdot \dfrac{2}{4} \cdot \dfrac{3}{5} \cdots \dfrac{18}{20} \cdot \dfrac{19}{21} \cdot \dfrac{20}{22}
$$
  1. $\displaystyle \dfrac{1}{462}$
  2. $\displaystyle \dfrac{1}{231}$
  3. $\displaystyle \dfrac{1}{132}$
  4. $\displaystyle \dfrac{2}{213}$
  5. $\displaystyle \dfrac{1}{22}$