
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
10 pairs of distinct shoes are mixed in a bag. If 4 shoes are randomly drawn, how many possible outcomes are there for the following results?
(1) None of the 4 shoes form a pair;
(2) Among the 4 shoes, there is one pair, and the other two shoes do not form a pair;
(3) The 4 shoes form exactly two pairs.

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