Factual error: A photograph is displayed of people at a 25th year MIT reunion in which they are wearing cardinal and grey jackets. Alumni do not receive these jackets until their 50th year reunion. (00:08:00)
Factual error: Neither of the two problems that Will completed on the hallway chalkboard were actually proofs. With a "proof," you start with a specific conclusion and show the work necessary to verify mathematically that the conclusion is correct. With both problems on the hallway chalkboard, however, the objectives were simply to calculate and arrive at the answers without knowing in advance what the answers were.
Answer: "How do you like those apples" is an expression used to denote triumph, like "told you so" or "put that in your pipe and smoke it". Will just adds his own little humorous twist to it.
Grumpy Scot