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2006 AMC 8 Question 9

AMC8 · 2006 AMC 8

Question 9

What is the product of $$
\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\cdots\times\dfrac{2006}{2005}?
$$
  1. $1$
  2. $1002$
  3. $1003$
  4. $2005$
  5. $2006$