
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
With a deck of 32 cards, a player draws 2 cards. How many different hands are there

1. if the order of the cards matters?
2. if the order of the cards does not matter?
3. if the player draws three cards and the order does not matter?

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