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2003 AMC 10B Question 10

AMC10 · 2003 AMC 10B

Question 10

Nebraska, the home of the AMC, changed its license plate scheme. Each old license plate consisted of a letter followed by four digits. Each new license plate consists of three letters followed by three digits. By how many times is the number of possible license plates increased?
  1. $\dfrac{26}{10}$
  2. $\dfrac{26^2}{10^2}$
  3. $\dfrac{26^2}{10}$
  4. $\dfrac{26^3}{10^3}$
  5. $\dfrac{26^3}{10^2}$