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2026 AMC 8 Question 20

AMC8 · 2026 AMC 8

Question 20

The land of Catania uses gold coins and silver coins. Gold coins are $1$ mm thick and silver coins are $3$ mm thick. In how many ways can Taylor make a stack of coins that is $8$ mm tall using any arrangement of gold and silver coins, assuming order matters?
  1. $3$
  2. $7$
  3. $10$
  4. $13$
  5. $16$