permanent tooth vs adult tooth

permanent tooth and adult tooth both are nouns.

Word	Noun	Adjective	Verb	Adverb
permanent tooth	Yes	No	No	No
adult tooth	Yes	No	No	No

As nouns, permanent tooth and adult tooth are synonyms defined as:

permanent tooth and adult tooth: any of the 32 teeth that replace the deciduous teeth of early childhood and (with luck) can last until old age

permanent tooth (noun)	adult tooth (noun)
any of the 32 teeth that replace the deciduous teeth of early childhood and (with luck) can last until old age	any of the 32 teeth that replace the deciduous teeth of early childhood and (with luck) can last until old age