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2015 AMC 10A Question 13

AMC10 · 2015 AMC 10A

Question 13

Claudia has $12$ coins, each of which is a $5$-cent coin or a $10$-cent coin. There are exactly $17$ different values that can be obtained as combinations of one or more of her coins. How many $10$-cent coins does Claudia have?
  1. $3$
  2. $4$
  3. $5$
  4. $6$
  5. $7$