1. Would you put me through to Mr. Brown?

2. Would you connect me to Mr. Brown.
(In a telephone conversation, are both the same? Which one is commonly used?)

3. I'll put you through to the Service Department.
4. I'll put you through to the Service Department.
(In a telephone conversation, are both the same? Which one is commonly used?)

All four are fine, and all are used about evenly, I'd say.

(Are 3 and 4 supposed to be different?)