
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 participated in a recruitment interview at an organization. The person in charge told them, "We will recruit 3 people from those interviewed. Assuming that each interviewee has an equal probability of being recruited, the probability of both of you being recruited at the same time is $\frac{1}{70}$. Given this information, calculate the number of people who participated in the recruitment interview for this organization.

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