Dnd 5e Throw Multiple Weapons?

Say I can attack 3 times. I want to throw 3 daggers, but I haven’t drawn any yet. Are my Action choices really "draw and throw 1 dagger" OR "draw 2 daggers"? You can’t draw and throw as part of the same attack?

I ask because I read Thrown Weapon Fighting style, which goes out of its way to say that you can draw and throw as a single attack, and I was surprised that you couldn’t already do that.