I was posed a question recently by a colleague at work, and on reflection I'm struggling to figure out why it hasn't been a bit of a chestnut on the quiz circuit, as it appears to have many of the qualities required. Or maybe it has been and I just haven't noticed. Anyway here it is:
What is the lowest checkout in darts that required a 3-dart finish?
For those uninitiated in the great sport of darts, a checkout needs to finish on a double or a bullseye (50 points). To count, it must require three darts, and not be able to be done on one or two darts, e.g. 40 wouldn't count, no matter how many times you insist you could do it 5, 15, double 10, as it's quite clear that double 20 would do.
Feel free to comment any solutions. The method that my colleague and I used to solve it demonstrates an interesting method of proof, so a follow up on solution should be expected, along with a little discourse on some area of mathematics, I should expect.
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