
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 soccer team, each team has 11 players on the field, with 1 player being the goalkeeper who does not participate in the formation of defenders, midfielders, and forwards. It is known that the number of defenders is between 3-5, the number of midfielders is between 3-6, and the number of forwards is between 1-3. Then, in terms of the number of defenders, midfielders, and forwards, there are $\qquad$ possible formations.

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