
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 box contains 5 white balls and 5 black balls. Balls are taken out of the box one by one until all 10 balls are taken out, ensuring that at no time do the number of black balls in the box drop below the number of white balls. Considering that balls of the same color are indistinguishable, determine how many ways this can be done.

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