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Australian AMC 2015 - Intermediate Question 24

AMC AUSTRALIA · Australian AMC 2015 - Intermediate

Question 24

Max’s journey around this grid starts on a grid point on side $AB$.

He visits a grid point on each of sides $BC$, $CD$ and $DA$ in order before returning to his starting point, forming a quadrilateral.

Max does not visit corner points $A$, $B$, $C$ or $D$.

How many journeys are possible which are not rectangles? (Note that a square is a rectangle.)

Question illustration
  1. 256
  2. 252
  3. 64
  4. 248
  5. 76