S represents a source host and D represents a destination host. Which of the following is the most typical use of public key encryption, when S sends an authenticated $($digitally signed$)$ message to D$?$

S encrypts a signature using S$\text{'}$s public key, and D decrypts the signature using S$\text{'}$s private key.

S encrypts a signature using D$\text{'}$s public key, and D decrypts the signature using D$\text{'}$s private key.

S encrypts a signature using D$\text{'}$s private key, and D decrypts the signature using D$\text{'}$s public key.

S encrypts a signature using S$\text{'}$s private key, and D decrypts the signature using S$\text{'}$s public key.