
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 similar playoff scenario, the top 6 bowlers compete in a sequence. First, #6 bowls against #5. The winner bowls #4, and the process continues until the winner bowls #1 in the final game. Prizes are awarded from 6th to 1st based on when a player loses, with the final game’s winner receiving 1st prize and the loser getting 2nd prize. Determine the number of possible orders in which bowlers #1 through #6 can receive the prizes.

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