A suite is a set of connected rooms, especially in a hotel, or a set of related musical pieces or computer programs designed to be used together.
From French 'suite' meaning 'sequence, series, retinue', from Latin 'sequor' (to follow). It kept the sense of things that follow or belong together.
A hotel suite is just a 'set that goes together'—same idea as an office suite or software suite. It’s the fancy cousin of 'set', with an extra layer of connection and comfort implied.
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