Is there a limit to the number of weapons you can carry?

Is there a limit to the number of weapons you can carry? - Regulatory road sign with Maximum inscription and number 15 against house facade in city in daytime

In getting an awful lot of swords. Is there a limit to how many of the same weapon I can end up having? If so, what is the max and what happens if I get another one?

The only way I've seen to get rid of weapons is to put abilities into empty slots using the smith. Is there another way to trim down my weapon inventory?

hyrule-warriors

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Is there a limit to the number of weapons you can carry? - Man and Woman Walking on Seashore

How Many Guns Can You Carry?

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Images: Erik Mclean, Erik Mclean, Dazzle Jam, Liam Moore