FURNISH (v.) is to provide the place with furniture (🛏🚽🛋 ) or other equipment. ● " They were sure she had no hand in the furnishing of that atrocious house." ● " The inn is beautifully furnished😍" ....................................................... Furnish can also mean provide but the verb provide is just more common. ○"Fish furnish an important source of protein" ..natives rarely use it instead of provide.. ------------------------------------------------------------------------------------------------------------------------------------------------------------ PROVIDE is to make something available for use /equip or supply someone with sth. ● "We were provided with a map🗺 of the area🌐." ●"The bank🏢 is able to provide photographic🎥 evidence🕵🏼‍♂️🔍 of who used the machine" ----------------------------------------------------------------------------------------------------------------------------extra--------------------------- SUPPLY (v.) is to give or add large amount of something.🧤 ● "Supply the office with A4 paper"

In some contexts they can be used synonymously. But provide is literally to make available for use, while furnish is to kit-out, hence, for example, 'a furnished apartment'. In many contexts furnished might appear old-fashioned or affected, for example: "He furnished her with the evidence". I would never say that. Anyway, that's my best shot.

Some different usages of "provide": The language tutor will provide all of the necessary materials for the lessons. In their relationship, he provides a lot of care and nurturing. She works multiple jobs in order to provide for her family.