Let's assume that Bob and Alice share a secret key in a symmetric key system. Bob wishes to begin a conversation with Alice, and sends her a message that essentially says "let's talk". Alice is suspicious that the person contacting her might not be Bob, so Alice generates a single-use random number (a nonce) and sends it to Bob. Bob encrypts the nonce with the secret key he shares with Alice and sends it back. Alice decrypts this message and retrieves the same nonce she sent to Bob. Which of the following is true, provided the secret key K has not been compromised?

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