
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
Bill is sent to a pastry shop to purchase exactly eight pastries. The shop offers five different types of pastries and Bill must purchase at least one of each type. How many combinations of pastries can Bill choose to satisfy these requirements?

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