marriage ceremony vs wedding

marriage ceremony and wedding both are nouns.

Word	Noun	Adjective	Verb	Adverb
marriage ceremony	Yes	No	No	No
wedding	Yes	No	No	No

As nouns, marriage ceremony and wedding are synonyms defined as:

marriage ceremony and wedding: the act of marrying; the nuptial ceremony

Other synonyms of marriage ceremony include marriage.

marriage ceremony (noun)	wedding (noun)
the act of marrying; the nuptial ceremony	the act of marrying; the nuptial ceremony
	the social event at which the ceremony of marriage is performed
	a party of people at a wedding