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2016 AMC 10A Question 14

AMC10 · 2016 AMC 10A

Question 14

How many ways are there to write $2016$ as the sum of twos and threes, ignoring order? (For example, $1008\cdot 2 + 0\cdot 3$ and $402\cdot 2 + 404\cdot 3$ are two such ways.)
  1. $236$
  2. $336$
  3. $337$
  4. $403$
  5. $672$