
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
Cory has 4 apples, 2 oranges, 2 bananas, and 1 grape. If Cory decides to eat one piece of fruit per day for the next 9 days and the pieces of fruit within each category (except grapes which are distinct) are indistinguishable, how many different orders can Cory eat his fruits over this period?

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