
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
Every member of the school's entertainment team can either sing or dance, and at least one of these. It is known that there are 2 people who can sing, 5 people who can dance. If we select 2 people, let $\xi$ be the number of people selected who can both sing and dance. Given $P(\xi > 0) = \frac{7}{10}$, the total number of people in the entertainment team is ______.

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