
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 Jumpers team has 15 players, but two of the players, Alice and Max, refuse to play together. Additionally, one player, John, is currently injured and cannot play. How many different starting lineups (of 6 players) can Coach Loudvoice make, if the lineup cannot include both Alice and Max?

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