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2004 AMC 12A Question 13

AMC12 · 2004 AMC 12A

Question 13

Let $S$ be the set of points $(a, b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1,$ $0,$ or $1.$ How many distinct lines pass through at least two members of $S?$
  1. $8$
  2. $20$
  3. $24$
  4. $27$
  5. $36$