
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Assume that there is a particle in the coordinate plane starting from the origin, hopping along the x-axis, with each hop being one unit in either the positive or negative direction. After 5 hops, the particle lands on the point (3,0) (it is allowed to pass through this point more than once). Find the number of different ways the particle can move to reach this position.

Present the answer in LaTex format: \boxed{Your answer}
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