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2002 AMC 12B Question 10

AMC12 · 2002 AMC 12B

Question 10

How many different integers can be expressed as the sum of three distinct members of the set $\{1,4,7,10,13,16,19\}?$
  1. $13$
  2. $16$
  3. $24$
  4. $30$
  5. $35$