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(Jonathan Frink voice) If there are more than 784 people assigning ranges, then your argument is contradicted by the pigeonhole principle.
by jpfed 10y ago
(Jonathan Frink voice) If there are more than 784 people assigning ranges, then your argument is contradicted by the pigeonhole principle.
- shalmanese 10y ago(Jonathan Frink voice intensifies) For a single assigning of range, you have a start point and end point which allows for 784 * 783 / 2 combinations which is ~300,000 but since some people might opt for multiple ranges (ie: S02E07 - S09E17 & S21E13 - S31E11), that expands the result space. At it's limit, people could simply list their qualifying and non-qualifying episodes in a binary fashion which results in 2^784 combinations which is approximately 10^(784/10*3) (because 2^10~10^3) or 10^235. This is far more than the global population so pigeonhole principle wouldn't apply.
- aanm1988 10y agoHow do you figure? Assuming ranges are A-B, where A <= B (you could like one season) and A, B are in [1, 28] then there should be just 406 ranges (28 that start at season 1, 27 at 2, etc...).
- jpfed 10y agoD'oh! I just squared 28 instead of getting the 28th triangle number.