
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, $3$ oranges, and $3$ bananas. Each type of fruit is indistinguishable from others within the same category. Cory eats one piece of fruit per day for 10 days, but all bananas must be consumed on consecutive days. How many different orders can Cory eat the fruit, adhering to the banana constraint?

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