permute vs permutation

permute is not a noun while permutation is a noun.

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

permute (noun)	permutation (noun)
	complete change in character or condition
	the act of changing the arrangement of a given number of elements
	act of changing the lineal order of objects in a group
	an event in which one thing is substituted for another

permute (verb)	permutation (verb)
change the order or arrangement of