
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 Dunkers are coached by Coach Thunder. The Dunkers have 15 players, but three of them, Bob, Yogi, and Zena, refuse to play together in any combination. How many starting lineups (of 6 players) can Coach Thunder make, if the starting lineup can't contain Bob, Yogi, and Zena playing together in any combination?

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