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Programming Enigma Puzzles
University student Rick Sloth has spent his life avoiding work, and even though it is exam season he has no intention of mending his lazy ways.
He is studying palaeontology, which he thought might be an easy option when he signed up for it, as he loves dinosaurs, but he has now discovered that it requires rather more study than he was expecting.
It turns out there are 18 topics in the syllabus and his end-of-year exam will feature 11 essay questions, each on a different topic. Fortunately for Rick, candidates are only required to answer four questions in total.
Rick wants to keep his exam preparation to a bare minimum, while still giving himself a chance of getting full marks.
How many topics does he need to revise if he is to be certain that he will have at least four questions that he can tackle?
And can you come up with a general formula for the minimum number of topics you need to study based on the number of exam questions and topics in the syllabus?