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IMAS 2024–2025 — Upper Primary — Round 2 Question 15

IMAS · IMAS 2024–2025 — Upper Primary — Round 2

Question 15

In one move, a bunny can either jump forward 2 or 3 steps or jump backward 1 step, as shown in the diagrams below.

Question illustration

Starting from cell number 2, in how many different ways can the bunny reach cell number 8 in less than or equal to 5 moves? Note that the different order of jumping forward 2 or 3 steps and backward 1 step are viewed as different ways. Also, the bunny is only allowed to jump on any cell from 0 to 10.

Question illustration

Give a detailed solution.