
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 Screamers are coached by Coach Yellsalot. The Screamers have 15 players, but two of them, Bob and Yogi, refuse to play together, and a third player, Danny, refuses to play if either Bob or Yogi is playing. How many starting lineups (of 5 players) can Coach Yellsalot make, if the starting lineup can't contain both Bob and Yogi, and Danny will not play if either Bob or Yogi plays?

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