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2014 AMC 12B Question 12

AMC12 · 2014 AMC 12B

Question 12

A set $S$ consists of triangles whose sides have integer lengths less than $5,$ and no two elements of $S$ are congruent or similar. What is the largest number of elements that $S$ can have?
  1. $8$
  2. $9$
  3. $10$
  4. $11$
  5. $12$