
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
A lunch coordinator is packing snack boxes for four students. Each snack box should contain one each of four different snacks: a chocolate bar, a cereal bar, a fruit cup, and a nut mix packet. The coordinator prepared all 16 snacks, each snack is wrapped and indistinguishable from one another. The coordinator then randomly puts four snacks in a box for each student. Calculate the probability that each student gets one of each type of snack.

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