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Suppose you have 5 football teams each team meets the other teams once. The total number of matches is 10. We may represent the results of these matches by a graph, in which if team A wins over...
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I noticed that the number of undirected graphs of order n with degree sequence: 2,2,2,...2 (n times) is equal to the number of partitions of n
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Let d be the n-th day of a year 2000+n, where n> - 248. Take the sum d + n + floor[(n + 3)/4] - floor[(n - 1)/100] + floor[((n - 1)/400] modulo 7. If the remainder is 0 then the day is Friday,...
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