
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 7 different flavors of cookies and 4 different types of milk. Alpha and Beta want to purchase a total of 5 products. Alpha will not order more than 2 of the same flavor, and Beta will only order cookies, allowing repeats of flavors. How many ways could they have left the store with 5 products collectively?

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