
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
There are 4 different red balls and 6 different white balls in a bag. How many ways can you draw 4 balls such that the number of red balls is more than the number of white balls? How many ways are there such that the number of red balls is not less than the number of white balls?

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