Yes
The root word of "merriment" is "merry."
The people rejoiced in much merriment. "Merriment" means gaiety and fun.
Your sounds of delighted merriment drew my attention to the room.
Sorry, "marriment" is not a word in English. It is likely that you meant "merriment", which means gaity or mirth: the state of being merry.
merry
Amusement, merriment., fun, mirthfulness
merriment
the adjective of merriment is merry
Get Together with merriment
There was a lot of merriment at the Christmas party.
airiness, jocundity, jovialness, cheerfulness, hilarity, merriment
The merriment lasted well into the night.