Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: My school's Physics Club has 22 members.  It needs to select 3 officers: chairman, vice-chairman, and sergeant-at-arms.  Each person can hold at most one office.  Two of the members, Penelope and Quentin, will only be officers if the other one is also an officer.  (In other words, either both Penelope and Quentin are officers, or neither are.)  In how many ways can the club choose its officers?
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