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Pick Four Math help

fast eddie's avatar - lasvegas2

If I want to play 8 different digits how many combinations would I have to play in order to guarantee a box win. An for kicks how many would I have to play to guarantee a straight win. Thanks in advance for the help. Smiley

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You will have to factor 8 four times to get all the straight combinations.

8 * 7 * 6 * 5 = 1680 straight combinations.

To find how many boxed combinations, divide 1680 by the factor of 4 (4 * 3 * 2 * 1 = 24).

1680 / 24 = 70 boxed combinations.

 

johnph77's avatar - avatar

Overall, there are 5,040 Pick 4 combinations, or slightly over half the total possibilities, without repeating numbers. They can be boxed with 210 tickets.

gl

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You will have to factor 8 four times to get all the straight combinations.

8 * 7 * 6 * 5 = 1680 straight combinations.

To find how many boxed combinations, divide 1680 by the factor of 4 (4 * 3 * 2 * 1 = 24).

1680 / 24 = 70 boxed combinations.

 

You mean 8x8x8x8...(doubles, triples and quads included)

8 ways to choose the first number. 8 ways to choose the second (the first digit can be repated..and so on)_.

4096...unique outcomes

In these 4096 outcomes....each number's digits can be rearranged to form 24 new unique numbers.

(Exampe 8954 can be 8945, 8594, 8549, 8495, 8459,..and so on)

So its 4096/24= 170...so at .50 a wager you need to spend at least $85...

 

For what?...This cannot guarantee you a boxed win unless you had a way of knowing definitvely that 2 of the 10 digits would not show up.

IOW this wager is a non-starter. Better to play 50c quick pick straight.

Your real chances of winning a box or straight are the samet a boxed number is approx 41%...4096/10000 or for a boxed hit

170/ 417=41%

To summarize: You have to spend at least $85 (assuming 50cent per ticket) for a 41% chance to win at least $100. 

I would prefer to spend the $85 on 170 different straight numbers from Lotterypost members predictions..

fast eddie's avatar - lasvegas2

Thanks guys. Opps I forgot to mention that I'm looking to play 8 different digits boxed, all combinations available except for repeating digits and quads. Thanks. Sorry for the misunderstanding.Smiley

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Oh, I thought Eddie was asking how many 24-way box combinations there are using 8 numbers.

You're correct; there are 4096 straight combinations but if you want to box them all, there are 322 boxed combinations. (330 if you can box 1111 etc.)

56 4-way boxes (1112 etc.)

28 6-way boxes (1122 etc.)

168 12-way boxes (1123 etc.)

70 24-way boxes (1234 etc.)

Assuming either or both of the 2 unused numbers didn't appear, you would still lose $122 if one of the 24-boxes hit. And winning $78 is not that exciting after wagering $322.

As for playing it straight, is wagering $4096 to win $904 without a win guarantee a good bet? (and don't forget the IRS)

 

fast eddie's avatar - lasvegas2

70 24-way boxes (1234 etc.)

Thanks Stack47. That 70 24-way box combiantions is what I was looking for. It's not about playing all of them at once. I want to play numbers from the 70 combos at any given time. Now how do I or does anyone have a program that will generate these numbers for me. I do not want to use the digits zero or one, also no repeating numbers or quads. Hell, why didn't I come out and say that in the first place. I be confused. What? Maybe you or someone else has the capability to generate these numbers. Thanks for the help..... fast eddie. Wink

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2345 2346 2347 2348 2349 2356 2357 2358 2359 2367

2368 2369 2378 2379 2389 2456 2457 2458 2459 2467

2468 2469 2478 2479 2489 2567 2568 2569 2578 2579

2589 2678 2679 2689 2789 3456 3457 3458 3459 3467

3468 3469 3478 3479 3489 3567 3568 3569 3578 3579

3589 3678 3679 3689 3789 4567 4568 4569 4578 4579

4589 4678 4679 4689 4789 5678 5679 5689 5789 6789

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00001: 2-3-4-5    00002: 2-3-4-6    00003: 2-3-4-7    00004: 2-3-4-8
00005: 2-3-4-9    00006: 2-3-5-6    00007: 2-3-5-7    00008: 2-3-5-8
00009: 2-3-5-9    00010: 2-3-6-7    00011: 2-3-6-8    00012: 2-3-6-9
00013: 2-3-7-8    00014: 2-3-7-9    00015: 2-3-8-9    00016: 2-4-5-6
00017: 2-4-5-7    00018: 2-4-5-8    00019: 2-4-5-9    00020: 2-4-6-7
00021: 2-4-6-8    00022: 2-4-6-9    00023: 2-4-7-8    00024: 2-4-7-9
00025: 2-4-8-9    00026: 2-5-6-7    00027: 2-5-6-8    00028: 2-5-6-9
00029: 2-5-7-8    00030: 2-5-7-9    00031: 2-5-8-9    00032: 2-6-7-8
00033: 2-6-7-9    00034: 2-6-8-9    00035: 2-7-8-9    00036: 3-4-5-6
00037: 3-4-5-7    00038: 3-4-5-8    00039: 3-4-5-9    00040: 3-4-6-7
00041: 3-4-6-8    00042: 3-4-6-9    00043: 3-4-7-8    00044: 3-4-7-9
00045: 3-4-8-9    00046: 3-5-6-7    00047: 3-5-6-8    00048: 3-5-6-9
00049: 3-5-7-8    00050: 3-5-7-9    00051: 3-5-8-9    00052: 3-6-7-8
00053: 3-6-7-9    00054: 3-6-8-9    00055: 3-7-8-9    00056: 4-5-6-7
00057: 4-5-6-8    00058: 4-5-6-9    00059: 4-5-7-8    00060: 4-5-7-9
00061: 4-5-8-9    00062: 4-6-7-8    00063: 4-6-7-9    00064: 4-6-8-9
00065: 4-7-8-9    00066: 5-6-7-8    00067: 5-6-7-9    00068: 5-6-8-9
00069: 5-7-8-9    00070: 6-7-8-9   

fast eddie's avatar - lasvegas2

Thanks Stack47. That's exactly what I wanted.  Wow only 3 posts thus far here at L.P. Your a welcome addition, I look foward to seeing more posts from you. Also Maryland many thanks to you for taking the time to help me. Good Luck to you guys. Take care. fast eddie

p.s. I might need more help from you guys in the future. Wink

 

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