
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
A child has at hand $3$ red cubes, $4$ blue cubes, and $5$ yellow cubes. If the child decides to build a tower $10$ cubes high (two cubes will not be used), how many different towers can be created?
A) 126,000
B) 277,200
C) 330,000
D) 525,600

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