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IMAS 2011 — Junior — Round 1 Question 16

IMAS · IMAS 2011 — Junior — Round 1

Question 16

In an NBA basketball game, a player scores 44 points, 5 of which come from 5 foul shots (each shot scores 1 point). He makes more 2-point shots than 3-point shots. Of the following number, which cannot possibly be the total number of 2-point and 3-point shots made by this player?
  1. $15$
  2. $16$
  3. $17$
  4. $18$
  5. $19$