
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
Among $5$ students $A$, $B$, etc., $3$ students are randomly selected to participate in the math, physics, and chemistry competitions. The number of ways in which $A$ and $B$ are selected at most one time is ______. (Provide your answer in numerical form)

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