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Australian AMC 2022 - Senior Question 24

AMC AUSTRALIA · Australian AMC 2022 - Senior

Question 24

In the grid shown, the numbers 1 to 8 are placed so that when joined in ascending order they make a trail. The trail moves from one square to an adjacent square but does not move diagonally. In how many ways can the numbers 1 to 8 be placed in the grid to give such a trail?

Question illustration
  1. 12
  2. 20
  3. 24
  4. 28
  5. 36