commute vs permute

commute is a noun but permute is not a noun.

Word	Noun	Adjective	Verb	Adverb
commute	Yes	No	Yes	No
permute	No	No	Yes	No

As verbs, commute and permute are synonyms defined as:

Other synonyms of commute include transpose.

commute (noun)	permute (noun)
a regular journey of some distance to and from your place of work

commute (verb)	permute (verb)
change the order or arrangement of	change the order or arrangement of
exchange a penalty for a less severe one
exchange or replace with another, usually of the same kind or category
exchange positions without a change in value
travel back and forth regularly, as between one's place of work and home