
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 types of cookies and $4$ different types of milk. Charlie and Delta decide to purchase some items. Charlie will not order more than one of the same type, while Delta will only order cookies, including repeats of types. How many ways can they leave the store with $4$ products collectively? (e.g., Charlie buys 1 chocolate chip cookie, 1 oatmeal cookie, and 1 almond milk, while Delta buys 1 sugar cookie.)

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