
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 now has $4$ apples, $2$ oranges, $2$ bananas, and $1$ pear. If Cory eats one piece of his fruit per day, in how many different orders can Cory eat the fruits over nine days? Consider that pieces of fruit within each category are indistinguishable, and one such order might be $AAAOPBBBO$.

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