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The number of prizes .............. missing part ................... Example: In a 6/49 matrix with the minimal winning category having the threshold of 4 numbers, we played a bridgehead system with fixed numbers 7, 12, 21, 32 and 2 variable numbers. The draw came up 5, 12, 19, 21, 29, 32. How many prizes did we win in each category? Wehave nq =4 andh=4.Observethat k'=3 (winningnumbers 12,21,32).Thecondition k'≥nq −p+h isequivalentto 3≥ 4−6+4, so it is satisfied. Hence we have prizes from the third category upward, as follows (for k from 4 to k '+ p − h = 5): Fork=4, N =C4−3C6−4−4+3 =C1C1 =135. 4,3 6−3 49−4 3 45 Fork=5, N =C5−3C6−4−5+3 =C2C0 =3. 4,3 6−3 49−4 3 45 For k = 6, we have N6,3 = 0 . .............. missing part ................... h=2 0123456 97290 178365 0 0 0 0 0 16215 81075 178365 0 0 0 0 940 10810 64860 178365 0 0 0 15 470 6486 48645 178365 0 0 0 5 188 3243 32430 178365 0 0 0 1 47 1081 16215 178365 k’ k 1 2 3 4 5 6 52PDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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