An unselective and noncompetitive application process is called

An unselective and non-competitive application process is called 'open admission'.

Explanation:

An admission process that does not involve a competition of merit or an eligibility exam like an entrance test is called as 'Open Admission' or less popularly, an 'Open Enrollment'. The only criterion that is expected to be cleared to be eligible for an open admission process is that of the completion of a 'high school diploma' or a 'general educational development certificate'.

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