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THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems

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THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems ( the-mathematics-lottery-odds-combinations-systems )

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k’ k 1 2 3 4 5 6 h=5 0123456 6 44 0 0 0 0 0 0 5 44 0 0 0 0 0 0 4 44 0 0 0 0 0 0 3 44 0 0 0 0 0 0 2 44 0 0 0 0 0 0 1 44 Example of how to use the tables: In a 6/49 lottery, we played a bridgehead system with the fixed numbers 8, 11, 23, 32, and 2 variable numbers. The draw came: 11, 32, 37, 41, 42, 48. How many of the simple lines of the played system do contain exactly 2 winning numbers? How about exactly 4? Wehave: h=4, k'=2 (numbers11,32).Intableh=4,atthe intersection of row k = 2 with column k ' = 2 , we find 990 simple lines containing exactly 2 winning numbers; at the intersection of row k = 4 with column k ' = 2 we find 6 simple lines containing exactly 4 winning numbers. 53

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