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This is an old-fashioned hat. The sentence "an old fashioned hat" here is an

This is an old-fashioned hat. The sentence "an old fashioned hat" here is an

Explanation

The phrase "an old-fashioned hat" is a noun phrase because:

  1. "hat" is the main noun (head of the phrase).
  2. "an" is a determiner (article) modifying the noun.
  3. "old-fashioned" is an adjective describing the noun "hat."