permutation vs reordering

permutation and reordering both are nouns.

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

As nouns, reordering is a hypernym of permutation; that is, reordering is a word with a broader meaning than permutation:

permutation (noun)	reordering (noun)
complete change in character or condition	a rearrangement in a different order
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