(a) The Office of Personnel Management shall certify enough names from the top of the appropriate register to permit a nominating or appointing authority who has requested a certificate of eligibles to consider at least three names for appointment to each vacancy in the competitive service.

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(b) When an appointing authority, for reasons considered sufficient by the Office, has three times considered and passed over a preference eligible who was certified from a register, certification of the preference eligible for appointment may be discontinued. However, the preference eligible is entitled to advance notice of discontinuance of certification.