how many possible private keys can be generated for a public key

??

i am new to this bitcoin community....

Each public key has one private key, and each private key has one public key. The public key can be expressed in (at least) two formats: compressed and uncompressed. Uncompressed public keys start with 04 when written in hex, and compressed public keys start with 02 or 03. But they represent the same public key.

In short, for every private key, there is 1 public key, and vice versa. But this doesn't account for adresses.

There are 2*256 public keys, but only 2*160 version-0 addresses, so each address actually represents on average 2*96 different public keys.

Which basically means that for every adress, there are alot of public keys, although bruteforce is still not feasible due to the scale of these numbers.