
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
A committee of 5 is to be chosen from a group of 9 people. How many ways can it be chosen if Biff and Jacob must serve together or not at all, and Alice and Jane refuse to serve with each other?

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