
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 deluxe oreo shop sells $8$ different flavors of oreos and $4$ different types of milk. Charlie and Delta decide to purchase some snacks. Charlie, being particularly particular, will not buy more than one of the same flavor or type. Delta, on the other hand, will only purchase oreos and is fine with repeating flavors. How many ways could they have left the store with $5$ products collectively?

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