
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
The Fairview College Soccer Team consists of 25 players, including 4 goalies. In an upcoming training session, they plan to hold a contest to see which goalie can block the most number of penalty kicks. However, on the day of the contest, 2 players, including one goalie, are absent due to injuries. Each remaining player, including the uninjured goalies, takes a shot on goal against each of the remaining goalies. How many penalty kicks must be taken?

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