ordination vs ordering

ordination and ordering both are nouns.

Word	Noun	Adjective	Verb	Adverb
ordination	Yes	No	No	No
ordering	Yes	No	No	No

As nouns, ordination and ordering are synonyms defined as:

ordination and ordering: logical or comprehensible arrangement of separate elements

Other synonyms of ordination include order.

ordination (noun)	ordering (noun)
the act of ordaining; the act of conferring (or receiving) holy orders	the act of putting things in a sequential arrangement
logical or comprehensible arrangement of separate elements	logical or comprehensible arrangement of separate elements
the status of being ordained to a sacred office