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IMAS 2022–2023 Junior Division — First Round Question 1

IMAS · IMAS 2022–2023 Junior Division — First Round

Question 1

A ball is dropped starting from the top of the drainage system and slides downward until it reaches the bottom, as shown in the diagram below. If it is known that the ball cannot go upward, how many different paths could the ball pass through the drainage? (Note: One example is shown.)

Question illustration
  1. 82
  2. 74
  3. 58
  4. 46
  5. 38