
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
Two students went to an organization for a job interview together. Before the interview, the person in charge of the organization told them, "We are going to hire 3 people from the interviewees, without considering the level of the candidates, the probability of both of you being hired at the same time is $\frac{1}{15}$." Determine the number of people attending the interview.

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