Question 25
A particle starts at the point $(0,0)$ and moves towards the point $(8,4)$ such that
- The particle can only move rightwards or upwards one step at a time (for example, from $(0,0)$ the particle can either move to $(1,0)$ or $(0,1)$)
- The particle cannot move three steps in the same direction consecutively.
Find the number of possible paths that the particle can take.
- The particle can only move rightwards or upwards one step at a time (for example, from $(0,0)$ the particle can either move to $(1,0)$ or $(0,1)$)
- The particle cannot move three steps in the same direction consecutively.
Find the number of possible paths that the particle can take.