Screening new tenant: How many can you screen ?

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Hello BP 

I always confuse on this subject. so I am in the process the get one unit rent out and I get few people interested. My question is How many application can you take at a time ? 

I though You can only get one application at a time, and If they not qualify then you can screen you next application. Is that right ? or I can take all application at a time then choose the most qualify applicant. BTW I live in Minnesota