I'm pretty sure if you injected 10,000 vaccines into someone all at once, their body would explode. But please, do keep defending the guy's ridiculous hyperbole.
10,000 is probably 2-3 orders of magnitude greater than the number of different vaccines available on any market, so attacking or defending that number has no utility. And commenting as if that were my point detracts from the conversation.
It's much more interesting to think about how his work likely saves hundreds of lives each day, and to contemplate what we can do in our own lives to have such a great impact at such a large scale.
Every vaccine contains several grams of fluid.
10,000 injected into your body all at once would kill you.
I'm like 99% sure that like 99% of what's injected into you when you get a vaccine is some sort of filler like a saline solution, or a preservative like that good old mercury based one that everyone used to bitch about. So it's quite likely in my mind that you could formulate some sort of "everything vaccine" with a sufficient quantity of dead viruses or virus parts from 10,000 different viruses, and fit it into a single, normal-sized syringe.