Pick-5 MM and EHB systems

 
pick-5, 35 numbers, 4 if 4 guarantee, 10472 combinations (MM, EHB, MAC)
(also five 4 if 5;
the best known single 4 if 5 guarantee system is in 4182 combinations)(5*4182=20910)
 
pick-5, 32 numbers, four 3 if 3 guarantee, 1984 combinations (MM, EHB, MAC)
(the best known 3 if 3 guarantee system is in 568 combinations)(4*568=2272)

pick-5, 32 numbers, two 3 if 3 guarantee, 992 combinations (MM, EHB, MAC)
(992 is the minimum number of combinations required for balance of up to 3-wins)
(the best known 3 if 3 guarantee system is in 568 combinations)(2*568=1136)

pick-5, 26 numbers, three 3 if 3 guarantee, 780 combinations (MM, EHB)
(this is a triple of a perfect 3 if 3 guarantee system in 260 combinations;
the system presented here triples the guarantee, with no repeated combinations
and a lot of structure; short TOW in particular)

pick-5, 26 numbers, two 4 if 4 guarantee, 5980 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 3215 combinations; 2*3215=6430)
(also ten 4 if 5; the best single 4 if 5 guarantee system is 1088 combinations)(10*1088=10880)
(260 combinations repeated within; still the best and MM with the double 4 if 4 guarantee)

pick-5, 25 numbers, three 3 if 3 guarantee, 690 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 256 combinations)(3*256=768)
(30 combinations are repeated three times each; still the best and MM with the triple 3 if 3 guarantee)

pick-5, 23 numbers, 4 if 4 guarantee, 1771 combinations (MM, EHB, MAC)
(also five 4 if 5; the best known single 4 if 5 guarantee system is in 636 combinations)(5*636=3180)
 
pick-5, 23 numbers, two 4 if 4 guarantee, 3542 combinations (MM, EHB)
(this is a double of the perfect 4 if 4 guarantee system in 1771 combinations;
it doubles the guarantee, with no repeated combinations and a lot of structure; short TOW)

pick-5, 22 numbers, three 3 if 3 guarantee, 462 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 172 combinations)(3*172=516)

pick-5, 21 numbers, three 3 if 3 guarantee, 399 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 151 combinations)(3*151=453)

pick-5, 21 numbers, three 3 if 3 guarantee, 399 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 151 combinations)(3*151=453)
(21 combinations are repeated three times each; still the best and MM with the triple 3 if 3 guarantee)

pick-5, 20 numbers, four 3 if 3 guarantee, 456 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 133 combinations)(4*133=532)

pick-5, 20 numbers, six 3 if 3 guarantee, 684 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 133 combinations)(6*133=798)

pick-5, 20 numbers, ten 3 if 3 guarantee, 1140 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 133 combinations)(10*133=1330)

pick-5, 20 numbers, four 4 if 4 guarantee, 3876 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 1247 combinations)(4*1247=4988)
(also twenty 4 if 5; the best known single 4 if 5 guarantee system is in 350 combinations)(20*350=7000)
 
pick-5, 18 numbers, four 4 if 4 guarantee, 2448 combinations (MM, EHB)
(the best single 4 if 4 guarantee system is in 664 combinations)(4*664=2656)

(also twenty 4 if 5; the best known single 4 if 5 guarantee system is in 214 combinations)(20*214=4280)
 
pick-5, 17 numbers, two 4 if 4 guarantee, 952 combinations (MM, EHB)
(68 combinations repeated within;
still the best and MM with the double 4 if 4 guarantee;
the best known 4 if 4 guarantee system is in 491 combinations (2*491=982)
(also ten 4 if 5; the best known single 4 if 5 guarantee system is in 175 combinations)(10*175=1750)
 
pick-5, 17 numbers, four 4 if 4 guarantee, 1904 combinations (MM, EHB)
(the best known 4 if 4 guarantee system is in 491 combinations; 4*491=1964)
(also twenty 4 if 5
; the best known single 4 if 5 guarantee system is in 175 combinations)(20*175=3500)

pick-5, 16 numbers, six 3 if 3 guarantee, 336 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 65 combinations)(6*65=390)

pick-5, 16 numbers, four 4 if 4 guarantee, 1488 combinations (MM, EHB up to pairs)
(the best known single 4 if 4 system is in 405 combinations)(4*405=1620)
(also twenty six 3 if 3 guarantee;
the best known 3 if 3 guarantee system is in 65 combinations; 26*65=1690)
(also twenty 4 if 5
; the best known single 4 if 5 system is in 132 combinations)(20*132=2640)

pick-5, 16 numbers, thirty 3 if 3 guarantee, 1680 combinations (MM, EHB up to 3-wins)
(and four 4 if 4, very high percentage of exactly four)
(the best known 3 if 3 guarantee system is in 65 combinations; 30*65=1950)
(also twenty 4 if 5
guarantee; the best known single 4 if 5 guarantee system is in 132 combinations)(20*132=2640)

pick-5, 15 numbers, two 4 if 4 guarantee, 546 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 294 combinations)(2*294=588)
(also ten 4 if 5
; the best known single 4 if 5 guarantee system is in 95 combinations)(10*95=950)

pick-5, 15 numbers, three 4 if 4 guarantee, 819 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 294 combinations)(3*294=882)
(also fifteen 4 if 5; the best known single 4 if 5 guarantee system is in 95 combinations)(15*95=1425)

pick-5, 14 numbers, ten 3 if 3 guarantee, 364 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 43 combinations)(10*43=430)
(also eight 4 if 5;
the best known single 4 if 5 guarantee system is in 69 combinations)(8*69=552)

pick-5, 14 numbers, five 3 if 3 guarantee, 182 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 43 combinations)(5*43=215)

pick-5, 13 numbers, three 4 if 4 guarantee, 429 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 157 combinations)(3*157=471)

(also fifteen 4 if 5; the best known single 4 if 5 guarantee system is in 48 combinations)(15*48=720)


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