
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 cookie shop sells 6 different flavors of cookies and 4 different flavors of milk. Gamma and Delta decide to purchase some cookies. Gamma, being picky, will not order more than 1 of the same flavor. Delta, on the other hand, will only order cookies, but she is willing to have repeats of flavors. How many ways could they have left the store with 3 products collectively? (A possible purchase is Gamma purchases 1 bag of classic chocolate chip cookies and 1 bottle of almond milk while Delta purchases 1 pack of mint chocolate cookies).

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