
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 now offers four different kinds of rolls (A, B, C, D). How many different combinations of rolls could Carol purchase if she buys a total of nine rolls and includes at least two of each kind A, B, and C, but can purchase any number (including none) of kind D?

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