
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
Dad is good at math, but forgot the code to the digital lock on the way to the garage. He recalls that all the digits of the code are different and their sum is 28. How many different codes does Dad need to check to be sure to open the garage, given that the unlocking mechanism of the lock consists of four disks, each with a full set of digits?

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