
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 4 red balls and 6 white balls, all of the same size. Four balls are drawn from the bag.
(1) If the balls drawn must include both colors, how many different combinations are there?
(2) If the number of red balls drawn must be greater than or equal to the number of white balls drawn, how many different combinations are there?

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