Yes Minister Season 1 Episode 5 The Writing on the Wall

The Minister's frustrations with the civil service continue when Sir Humphrey, at his bureaucratic best, doesn't quite deliver the policy paper the Minister is seeking. Hacker wants to announce a cut of 200,000 civil servants and so decides to write the paper himself. He takes it a step further when he announces the planned cuts during a TV interview. The whole thing blows up in his face when the Prime Minister decides that the first cut will be Hacker's own Department. Suddenly, he and Sir Humphrey are on the same side fighting to keep their jobs.