permute vs commute

permute is not a noun while commute is a noun.

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

As verbs, permute and commute are synonyms defined as:

Other synonyms of permute include transpose.

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

permute (verb)	commute (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