
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 bakery sells $7$ different types of cookies and $4$ different types of cupcakes. Charlie and Delta go shopping and decide to buy a total of $4$ items together. Charlie, having a sweet tooth, picks no more than one of any kind of dessert. Delta, on the other hand, focuses exclusively on cookies and is fine with duplicates. How many different ways can they purchase these 4 items, given their preferences?

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