
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
From a bag containing 8 white and 5 black balls, all the balls are drawn one by one. How many different sequences of ball appearances are possible if balls of the same color are indistinguishable from each other?

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