Its interesting to note, that Thatcher, a big fan of the series, was playing alongside two gay men, (of which she probably wasn't aware) who would not have been too keen on her due to her percieved to be anti gay policies. This was later commented by countdown shows to be a very painful to watch sketch.
Goof: When Jim knocks on the Prime Minister's door it says "Prime Minister", however when we see the shot from the inside when he opens it the door is blank!
Bursar of Baillie College: Isaac Wolfson is only the second person in history to have a college named after him at both Oxford and Cambridge.
In fact, he is the third person. The first two are Jesus Christ and St John the Baptist.
This is the only episode of Yes, Minister that features Lucy Hacker, the daughter of the Minister. You only hear about once more in Yes, Prime Minister.
This is a rare case where an episode does not end with the line from Sir Humphrey "Yes, Minister". Instead he just makes eye contact with Hacker.