
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
Melinda now has four empty boxes and 16 textbooks, four of which are science textbooks. The boxes hold two, four, five, and five textbooks respectively. If Melinda packs her textbooks into these boxes randomly, find the probability that all four science textbooks end up in the box that holds five books, and express it as a reduced fraction $\frac{m}{n}$. What is the sum $m + n$?

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