For the math boffins

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CALLIFUDARE
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For the math boffins

Post: # 34288Post CALLIFUDARE
October 5th, 2019, 1:00 pm

Can anyone work this out please, I can’t get my
Head around it, how many combinations of 6 is there from 15 numbers, order is irrelevant, for example 123456 is the same as 234561 so that’s still 1 combination

Hope I’ve made it clear enough 🙈🙈

CALLIFUDARE
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Re: For the math boffins

Post: # 34289Post CALLIFUDARE
October 5th, 2019, 1:04 pm

Or alternatively what would be the cost for example of this bet

Say it’s football, I want to pick 6 teams to win from 15 guesses, the order is irrelevant, so if 6 teams do win from the 15 I selected how many combinations would be involved in the above example

sinnerboy
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Re: For the math boffins

Post: # 34292Post sinnerboy
October 5th, 2019, 2:31 pm

5005

15 selections,
105 doubles
455 trebles
1365 quads
3003 5 timers
5005 6timeers
6435 7 timers
6435 8 timers
5005 9 timers
3003 10 timers
1365 11 timers
455 12 timers
105 13 timers
15 14 timers
1 miracle

CALLIFUDARE
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Re: For the math boffins

Post: # 34293Post CALLIFUDARE
October 5th, 2019, 2:50 pm

No, no doubles or trebles

Just 6 number combos, so any 6 from 15 selections, order is irrelevant

CALLIFUDARE
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Re: For the math boffins

Post: # 34294Post CALLIFUDARE
October 5th, 2019, 2:51 pm

Oh sorry my bad I didn’t read the reply properly

CALLIFUDARE
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Re: For the math boffins

Post: # 34295Post CALLIFUDARE
October 5th, 2019, 2:53 pm

But I don’t think it’s correct, I see what you’ve done and this is where I was struggling

For instance there should only be 1 result for 15 as the order isn’t a factor, see what I mean?

sinnerboy
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Re: For the math boffins

Post: # 34296Post sinnerboy
October 5th, 2019, 3:31 pm

CALLIFUDARE wrote:
October 5th, 2019, 2:53 pm

For instance there should only be 1 result for 15 as the order isn’t a factor, see what I mean?
15= 1 miracle

bilthebandit
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Re: For the math boffins

Post: # 34297Post bilthebandit
October 5th, 2019, 7:41 pm

Pretty simple but time consuming to work it out and did so years back when lottery first started and you used to see some on the "pools" years back ie perm any 5 aways from 10 matches ect ect,if you wanted any 2 from 5 unique combos it would be 12 13 14 15 23 24 25 34 35 45 do you can do the same principle for 6 from 15 but would give me a right headache so will pass haha.

No doubt theres an easier mathematical formula around and if I ever knew it I forgotten it now haha.Dunno if there are any "pools" companies or similar kicking about or maybe even fixed odds bookies coupons could provide an accurate total for ya.

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richlizard
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Re: For the math boffins

Post: # 34298Post richlizard
October 5th, 2019, 8:19 pm

Thanks Bill

Theadder4
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Re: For the math boffins

Post: # 34299Post Theadder4
October 5th, 2019, 10:49 pm

Just google odds calculator,and a bookies betting calculator comes up.and you can work out any combinations you like ,as sinnerboy has put up.

bilthebandit
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Re: For the math boffins

Post: # 34301Post bilthebandit
October 5th, 2019, 11:41 pm

5005 maybe

T8MML
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Re: For the math boffins

Post: # 34305Post T8MML
October 6th, 2019, 12:25 pm

Deffo 5005.

15x14x13x12x11x10 =3603,600
Divided by 1x2x3x4x5x6 = 720

3,603,600 divided by 720 = 5005

Same formula for all multiples

supashammy
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Re: For the math boffins

Post: # 34322Post supashammy
October 7th, 2019, 3:01 pm

T8MML wrote:
October 6th, 2019, 12:25 pm
Deffo 5005.

15x14x13x12x11x10 =3603,600
Divided by 1x2x3x4x5x6 = 720

3,603,600 divided by 720 = 5005

Same formula for all multiples
Aha, was going to post exactly this. This is a specific maths ‘operator’ as well guys...like add or minus or multiply etc.

If you ever want to know the answer to this quickly, the terminology is “15 choose 6”.

Type it in google as that and you always get the answer right. Nice work Tim

T8MML
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Re: For the math boffins

Post: # 34323Post T8MML
October 7th, 2019, 3:51 pm

supashammy wrote:
October 7th, 2019, 3:01 pm
T8MML wrote:
October 6th, 2019, 12:25 pm
Deffo 5005.

15x14x13x12x11x10 =3603,600
Divided by 1x2x3x4x5x6 = 720

3,603,600 divided by 720 = 5005

Same formula for all multiples
Aha, was going to post exactly this. This is a specific maths ‘operator’ as well guys...like add or minus or multiply etc.

If you ever want to know the answer to this quickly, the terminology is “15 choose 6”.

Type it in google as that and you always get the answer right. Nice work Tim
Old bookie skills before the computers took over mate. Same as 1+1+1/2+1/4 for 13/8 instead of tapping in x2.625. Those were the days lol.

Anyone from that era will remember the Union Jack which was 9 bets (8 trebles and an acca). My old maths teacher used to come in on a Saturday and put a UJ on with ew round robins on each treble the bastard and he would have it worked to the penny!

bilthebandit
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Re: For the math boffins

Post: # 34328Post bilthebandit
October 7th, 2019, 8:07 pm

Nice work Tim INDEED I only put 5005 "maybe" incase I miscounted to 6 haha.

Good tip with the terminology Sam tried it with the lottery 49 choose 6 and came out with 13.9 mil and change and is about 10000 times faster and more accurate than my original calculation 30 year ago give or take when the lottery first started haha

On a side note are these "smart phones" able to recognise a command like 15 choose 6 yet????

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