Pick-6 MM and EHB systems


pick-6, 48 numbers, 5 if 5 guarantee, 285384 combinations (MM, EHB, MAC)
(also six 5 if 6;
the best single 5 if 6 guarantee system is in 127864 combinations)(6*127864=767184)
(also twenty two 4 if 4
; the best single 4 if 4 guarantee system is in 15844 combinations)(22*15844=348568)
 
pick-6, 36 numbers, 5 if 5 guarantee, 62832 combinations (MM, EHB, MAC)
(also six 5 if 6; the best single 5 if 6 guarantee system is in 27103 combinations)(6*27103=162618)
(also sixteen 4 if 4
; the best single 4 if 4 guarantee system is in
4632 combinations)(16*4632=74112)
 
pick-6, 32 numbers, four 3 if 3 guarantee, 992 combinations (MM, EHB, MAC)
(the best known 3 if 3 guarantee system is in 300 combinations)(4*300=1200)

pick-6, 28 numbers, ten 3 if 3 guarantee, 1638 combinations (MM, EHB up to 3-wins)
(the best known single 3 if 3 guarantee system is in 185 combinations)(10*185=1850)

pick-6, 27 numbers, 4 if 4 guarantee, 1170 combinations (MM, EHB)
(also five 4 if 5
; the best single 4 if 5 guarantee system is in 484 combinations)(5*484=2420)

pick-6, 26 numbers, seven 3 if 3 guarantee, 910 combinations (MM, EHB, MAC)

pick-6, 24 numbers, 5 if 5 guarantee, 7084 combinations (MM, EHB, MAC)
(also six 5 if 6; the best single 5 if 6 guarantee system is in 2437 combinations)(6*2437=14622)
(also ten 4 if 4
; the best single 4 if 4 guarantee system is in 784  combinations)(10*784=7840)
 
pick-6, 23 numbers, nine 4 if 4 guarantee, 5313 combinations (MM, EHB, MAC)
(the best known single 4 if 4 guarantee system is in 716 combinations)(9*716=6444)
(also five 5 if 6; the best single 5 if 6 guarantee system is in 1902)(5*1902=9510)

pick-6, 23 numbers, three 4 if 4 guarantee, 1771 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 716 combinations)(3*716=2148)
(also fifteen 4 if 5; the best single 4 if 5 guarantee system is in 229 combinations)(15*229=3435)

pick-6, 22 numbers, three 4 if 4 guarantee, 1463 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 580 combinations)(3*580=1740)
(77 combinations are repeated three times each; still the best and MM with the triple 4 if 4 guarantee)
(also fifteen 4 if 5 guarantee; the best single 4 if 5 guarantee system is in 189 combinations)(15*189=2835)
 
pick-6, 20 numbers, ten 3 if 3 guarantee, 570 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 71 combinations)(10*71=710)

pick-6, 19 numbers, two 3 if 3 guarantee, 114 combinations (EHB up to pairs, MAC)
(the best known single 3 if 3 guarantee system is in 60 combinations)(2*60=120)

pick-6, 19 numbers, three 3 if 3 guarantee, 171 combinations (EHB up to pairs, MAC)
(the best known single 3 if 3 guarantee system is in 60 combinations)(3*60=180)

pick-6, 18 numbers, nine 4 if 4 guarantee, 1836 combinations (MM, EHB)
(the best known single 4 if 4 system is in 236 combinations; 9*236=2124)
(also six 5 if 6; the best single 5 if 6 guarantee system is in 471 combinations)(6*471=2826)

pick-6, 18 numbers, two 5 if 5 guarantee, 2856 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 1546 combinations; 2*1546=3092)
(204 combinations repeated within; still the best and MM with the double 5 if 5 guarantee)
(also twelve 5 if 6; the best single 5 if 6 guarantee system is in 471 combinations)(12*471=5652)
A system without repeated combinations and the same guarantee is not known.

pick-6, 18 numbers, three 5 if 5 guarantee, 4284 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 1546 combinations; 3*1546=4638)
(204 combinations are repeated three times each; still the best and MM with the triple 5 if 5 guarantee)
(also eighteen 5 if 6; the best single 5 if 6 guarantee system is in 471 combinations)(18*471=8478)
A system without repeated combinations and the same guarantee is not known.

For the quadruple guarantee, a system without repeating combinations is possible:

pick-6, 18 numbers, four 5 if 5 guarantee, 5712 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 1546 combinations; 4*1546=6184)
(also twenty four 5 if 6; the best single 5 if 6 guarantee system is in 471 combinations)(24*471=11304)

pick-6, 17 numbers, eight 3 if 3 guarantee, 272 combinations (MM, EHB, MAC)
(80% chance of two 4 if 4; the best 4 if 4 system is 188 combinations)(2*188=376)
 
pick-6, 17 numbers, six 4 if 4 guarantee, 952 combinations (MM, EHB)
(the best known single 4 if 4 system is in 188 combinations)(6*188=1128)
(also four 5 if 6; the best single 5 if 6 guarantee system is in 332 combinations)(4*332=1328)

pick-6, 17 numbers, eight 4 if 4 guarantee, 1360 combinations (MM, EHB)
(the best known single 4 if 4 system is in 188 combinations)(8*188=1504)

pick-6, 17 numbers, eighteen 4 if 4 guarantee, 2856 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 188 combinations)(18*188=3384)
(also twelve 5 if 6; the best known single 5 if 6 system is in 332 combinations)(12*332=3984)

pick-6, 17 numbers, four 5 if 5 guarantee, 4216 combinations (MM, EHB)
(the best known single 5 if 5 system is in 1213 combinations)(4*1213=4852)
(also twenty six 4 if 4; the best known single 4 if 4 system is in 188 combinations)(26*188=4888)
(also twenty four 5 if 6; the best known single 5 if 6 system is in 332 combinations)(24*332=7968)

pick-6, 16 numbers, six 3 if 3 guarantee, 168 combinations (MM, EHB, MAC)

pick-6, 16 numbers, ten 4 if 4 guarantee, 1288 combinations (MM, EHB up to 3-wins)
(the best known single 4 if 4 guarantee system is in 152 combinations)(10*152=1520)
(also ten 5 if 6; the best single 5 if 6 guarantee system is in 223 combinations)(10*223=2230)

pick-6, 16 numbers, two 5 if 5 guarantee, 1456 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 808 combinations)(2*808=1616)
(the best known single 4 if 4 guarantee system is in 152 combinations)(12*152=1824)
(the best known single 5 if 6 guarantee system is in 223 combinations)(12*223=2676)
The system is MM in the entire range of guarantees (including twelve 5 if 6)
It has 168 combinations repeated, still the best and MM with the double guarantee.
A system without repeated combinations and the same guarantee is unknown.

pick-6, 16 numbers, three 5 if 5 guarantee, 2184 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 808 combinations)(3*808=2424)
(also eighteen 5 if 6
; the best known single 5 if 6 guarantee system is in 223 combinations)(18*223=4014)

pick-6, 15 numbers, fifteen 4 if 4 guarantee, 1365 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 117 combinations)(15*117=1755)
(also fifteen 5 if 6
; the best known single 5 if 6 guarantee system is in 142 combinations)(15*142=2130)

pick-6, 15 numbers, ten 4 if 4 guarantee, 910 combinations (MM, EHB)
(the best known single 4 if 4 system is in 117 combinations)(10*117=1170)
(also ten 5 if 6
; the best known single 5 if 6 guarantee system is in 142 combinations)(10*142=1420)
(105 combinations repeated within; yet it is MM and the best possible with stated guarantee)

A system without repeated combinations and the same main guarantee is also possible:

pick-6, 15 numbers, ten 4 if 4 guarantee, 910 combinations (MM, EHB)
(the best known single 4 if 4 system is in 117 combinations)(10*117=1170)

pick-6, 14 numbers, six 5 if 5 guarantee, 2002 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 371 combinations)(6*371=2226)
(also thirty six 5 if 6
; the best single 5 if 6 guarantee system is in 98 combinations)(36*98=3528)

pick-6, 14 numbers, three 5 if 5 guarantee, 1001 combinations (MM, EHB)
(the best known single 5 if 5 guarantee system is in 371 combinations)(3*371=1113)
(also eighteen 5 if 6
; the best single 5 if 6 guarantee system is in 98 combinations)(18*98=1764)

pick-6, 14 numbers, ten 3 if 3 guarantee, 182 combinations (MM, EHB, MAC)
(the best known 3 if 3 guarantee system is in 25 combinations)(10*25=250)

pick-6, 13 numbers, twenty 3 if 3 guarantee, 286 combinations (MM, EHB)
(the best known single 3 if 3 guarantee system is in 21 combinations)(20*21=420)

pick-6, 13 numbers, twelve 4 if 4 guarantee, 572 combinations (MM, EHB)
(the best known single 4 if 4 guarantee system is in 66 combinations)(12*66=792)
(also fifteen 5 if 6 guarantee; the best single 5 if 6 guarantee system is in 61 combinations)(15*61=915)

pick-6, 13 numbers, four 5 if 5 guarantee, 858 combinations (MM,EHB)
(the best single 5 if 5 guarantee system is in 245 combinations)(4*245=980)

pick-6, 12 numbers, three 5 if 5 guarantee, 396 combinations (MM, EHB)
(this is a triple of a perfect 5 if 5 guarantee system in 132 combinations; the system presented here triples the guarantee, with no repeated combinations and a lot of structure; short TOW)
(also eighteen 5 if 6; the best single 5 if 6 guarantee system is in 38 combinations)(18*38=684)


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