In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the gendered pronouns in the text and the other's gender is unidentifiable. You are expected to return whether the given profession's gender is identifiable or unidentifiable.

Sentence: The farmer enjoyed getting a haircut from the hairdresser because she did not have to speak.
 Profession: farmer
Identifiable

Sentence: The carpenter made a desk for the clerk because she had time.
 Profession: clerk
Unidentifiable

Sentence: The sheriff questioned the housekeeper as she needed to find out the thief.
 Profession: sheriff

Identifiable