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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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At the intersection of the row corresponding to a value of r with the column corresponding to a pair (k, k – i) we find the number of simple lines containing exactly k – i numbers from the winning k. p=3 k23 r k-i 21321 422130 536163 6 4 12 1 9 9 7 5 20 1 12 18 8 6 30 1 15 30 9 7 42 1 18 45 10 8 56 1 21 63 11 9 72 1 24 84 12 10 90 1 27 108 13 11 110 1 30 135 14 12 132 1 33 165 15 13 156 1 36 198 16 14 182 1 39 234 17 15 210 1 42 273 18 16 240 1 45 315 19 17 272 1 48 360 20 18 306 1 51 408 21 19 342 1 54 459 22 20 380 1 57 513 23 21 420 1 60 570 46

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