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2020 AMC 8 Question 19

AMC8 · 2020 AMC 8

Question 19

A number is called flippy if its digits alternate between two distinct digits. For example, $2020$ and $37373$ are flippy, but $3883$ and $123123$ are not. How many five-digit flippy numbers are divisible by $15?$
  1. $3$
  2. $4$
  3. $5$
  4. $6$
  5. $8$