Help with parlay combinations...

[HunterS.Thompson]

I need to know how many combinations with 4t parlays I can get with this weekends NFL games with no side to side in the parlays....I have my own result but my boss says it's wrong so I wanna see what you guys come up with so I can shut the old timer up! Thanks!!!

 

[lori@tropics]

if your question is how many 4 team parlays using 8 betting options the answer is 70.....not sure if that is what you're asking....4 sides, 4 totals,

 

[HunterS.Thompson]

only ML's and without going side to side on the same game...it's with this weekends NFL games

 

[lori@tropics]

4 money lines, 6 -2s, 4-3s, and a 4 teamer

 

[HunterS.Thompson]

only 4team parlays with every combination possible using dogs and fav's

 

[lori@tropics]

54 if i'm understanding you correctly

 

[HunterS.Thompson]

nope....all 4 games on the weekend using the ML's in 4 team parlays without going side to side on any of the parlays. So all 8 teams in all possible combinations in 4team parlays without the teams playing each other in the same parlay.

 

[bigboi26]

your confusing me also

 

[HunterS.Thompson]

forget it

 

[AdamSelene]

There are only sixteen fucking combinations.

BAL-ARZ-PHI-SD
BAL-ARZ-PHI-PIT
BAL-ARZ-NYG-SD
BAL-ARZ-NYG-PIT
BAL-CAR-PHI-SD
BAL-CAR-PHI-PIT
BAL-CAR-NYG-SD
BAL-CAR-NYG-PIT
TEN-ARZ-PHI-SD
TEN-ARZ-PHI-PIT
TEN-ARZ-NYG-SD
TEN-ARZ-NYG-PIT
TEN-CAR-PHI-SD
TEN-CAR-PHI-PIT
TEN-CAR-NYG-SD
TEN-CAR-NYG-PIT

Don't need any math skills to figure that out.

If you did want to do it mathematically, you have four games, four binary decisions (FAV/DOG) or 0/1.

You could write the above combinations as base 2 (binary) numbers.

1000
1001
1010
1011
etc...

1111 (base 2) = 2^4 = 16 (base 10)


So if you wanted to allow Totals or Moneylines (but one 1 from each game), it would be base 4 decision matrix.

4121
4122
4123
4124
4130
etc...

4444 (base 4) = 4^4 = 256 (base 10)


You want to allow point spreads, money lines or totals (but only 1 from each game) in a 4-parlay...

6666 = 6^4 = 1296


You want to have game ML, PS, Total, 1st half ML, PS, Total (but still don't allow two from same game, hence one from each game)

12^4 = 20,736


ad infinitum


If it were regular season this question would be a lot more complicated, or if you allow totals and sides of the same game to be parlayed together.

 

[HunterS.Thompson]

Thats what I said Adam but my boss says it a crazy number like the people above...thanks!

 

[AdamSelene]

I should add that 1111 == 15 literally, not 16. It's 16 combinations (numbers) because zero (0000) is included (0-15). Same with the rest.

 

[VIEJODINOSAUR]

Thats what I said Adam but my boss says it a crazy number like the people above...thanks!

Better to listen to your elders...:toast:

 

[HunterS.Thompson]

he was wrong VD he was saying 54 and I was telling him 16...

 

[AdamSelene]

You want to get from 70 (crazy answer) to your answer, it's simple.

8 pick 4 (combin(8,4)) = 70

But there are four pairs (FAV/DOG of same contest) that must then be substracted out.

BAL-TEN + combin(6,2) = 15 combinations that had BAL-TEN together.

70 - 15 = 55.

CAR-ARZ + combin(6,2) = 15 combinations that had CAR-ARZ together. But one of those 15 (BAL-TEN) we already took out, so 14.

55 - 14 = 41

PHI-NYG + combin(6,2) = 15 combinations that had PHI-NYG toghether. But two of those 15 (BAL-TEN and CAR-ARZ) we already took out, so 13.

41 - 13 = 28

PIT-SD + combin(6,2) = 15 combinations that had PIT-SD toghether. But three of those 15 (BAL-TEN, CAR-ARZ and PHI-NYG) we already took out, so 12.

28 - 12 = 16


answer:
= combin(8,4) - combin(6,2) - (combin(6,2)-1) - (combin(6,2)-2) - (combin(6,2)-3)

 

[AdamSelene]

Or put another way:

combin(8,4) - 4 * combin(6,2) + combin(4,2)

Shorter, the last component adds back the double-counting in the subtraction.

 

[VIEJODINOSAUR]

You just don't mess with Adam in math and computers...but he is a lousy pool player....LOL

 

[AdamSelene]

but he is a lousy pool player

You want to wager some money on that?

 

[VIEJODINOSAUR]

Watch out Adam...water may be too deep for you...we can always go back to Beat Pete's place in Santana if you feel froggy...LOL

 

[betbucks]

same combination as superbowl matchups.

<TABLE style="WIDTH: 225pt; BORDER-COLLAPSE: collapse" cellSpacing=0 cellPadding=0 width=299 border=0 x:str><COLGROUP><COL style="WIDTH: 128pt; mso-width-source: userset; mso-width-alt: 6217" width=170><COL style="WIDTH: 35pt; mso-width-source: userset; mso-width-alt: 1682" width=46><COL style="WIDTH: 62pt; mso-width-source: userset; mso-width-alt: 3035" width=83><TBODY><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 225pt; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" width=299 colSpan=3 height=21>NYG v PIT</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>NYG v TEN</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>CAR v PIT</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>CAR v TEN</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>NYG v BAL</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>NYG v SD</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>CAR v BAL</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>PHI v PIT</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>PHI v TEN</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>CAR v SD</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>PHI v BAL</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>PHI v SD</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>ARZ v PIT</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>ARZ v TEN</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>ARZ v BAL</TD></TR><TR style="HEIGHT: 15.75pt" height=21><TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 15.75pt; BACKGROUND-COLOR: transparent" colSpan=3 height=21>ARZ v SD $$$</TD></TR></TBODY></TABLE>