
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
In a bag, there are 9 white balls, 5 red balls, and 6 black balls. Determine the number of ways to draw 10 balls such that the number of white balls is between 3 and 7 (inclusive), the number of red balls is between 2 and 5 (inclusive), and the number of black balls is at most 3.

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