wedding vs marriage ceremony

wedding and marriage ceremony both are nouns.

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

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

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

Other synonyms of wedding include marriage.

wedding (noun)	marriage ceremony (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