
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 school's Robotics Club has 24 members. It needs to select 4 officers: president, vice-president, secretary, and treasurer. Two of the members, Rachel and Samuel, will only be officers if the other one is also an officer. Similarly, another pair, Tim and Uma, also have the condition that either both are officers, or neither are. In how many ways can the club choose its officers?

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