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IMSO 2024 Mathematics – International Essay Question 10

IMSO Maths · IMSO 2024 Mathematics – International Essay

Question 10

The IMSO ROBOT stands at box 1 in a path with 15 boxes that are arranged in a line as shown in the diagram below. In each turn, the IMSO ROBOT can only move 1, 2 or 3 step(s) to the right. So, in the first turn, the IMSO ROBOT can either move one step to land into box 2, two steps to land into box 3 or three steps to land into box 4. If the IMSO ROBOT cannot land outside of the boxes, what is the total number of ways to move the IMSO ROBOT to land into box 15?

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