Adding to the other answers, think of a bicycle, if you have one or had one as a kid and know how it works. Does it matter how many legs you have to determine how many gears the bicycle can have? Not really. Likewise, engine and gearbox are two separate things and, while there is a range of combinations that make sense (a manual with 20 gears would be hugely impractical on a passenger car) and the gear ratios need to be a good fir for the engine, there’s nothing stopping a four cylinder engine from having more gears than a 12 cylinder engine.
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