Step 1: Understand the requirement of the question.
The question asks for a pair of protocols that can be used to:
-- send e-mails, and then
-- retrieve e-mails.
The order is important.
Step 2: Identify protocols used for sending e-mails.
SMTP (Simple Mail Transfer Protocol) is used to send e-mails from a client to a mail server or between mail servers.
SMTP is not used for retrieving e-mails.
Step 3: Identify protocols used for retrieving e-mails.
POP3 (Post Office Protocol version 3) is used by mail clients to retrieve e-mails from a mail server, usually downloading them to the local machine.
IMAP (Internet Message Access Protocol) is also used for retrieving e-mails, but it allows managing mails directly on the server.
Step 4: Analyze the given options.
(A) IMAP, POP3: IMAP is for retrieval, not sending. Incorrect.
(B) SMTP, POP3: SMTP sends e-mails and POP3 retrieves them. Correct.
(C) SMTP, MIME: MIME is not a mail transfer or retrieval protocol; it is used for encoding multimedia content. Incorrect.
(D) IMAP, SMTP: IMAP is not used for sending e-mails. Incorrect.
Step 5: Conclusion.
The correct protocol pair for sending and retrieving e-mails (in that order) is
\[
\boxed{\text{SMTP, POP3}}
\]