
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
Among the balls that differ only in color, there are 6 white, 4 black, and 8 red balls. In how many ways can two boys divide these balls (not necessarily equally) between themselves in such a way that each boy gets at least two balls of each color?

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