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SMO 2017 Junior Round 1 Question 8

SMO · SMO 2017 Junior Round 1

Question 8

You have 30 rods of length 5, 30 rods of length 17 and 30 rods of length 19. Using each rod at most once, how many non-congruent triangles can you form?
  1. $6$
  2. $7$
  3. $8$
  4. $9$
  5. $10$