>>1
Nope. You're wrong. Here's why.
Apples take up a finite volume of space. Say an upper bound of 1000cm^3. Given that space-time itself is discrete, there are a finite number of atomic, sub-atomic, string or amplitude flow/configuration phase-space state configurations possible that you can pack within a 1000cm^3 volume.
Therefore, by the
PIGEON HOLE PRINCIPLE, given an infinite supply of apples, you will eventually, in a finite amount of time, enumerate all possible apples more than once as you pick them, such that there is no particular distinguishable apple that you have not yet selected.
QED