the Combinations and permutations calculator

mohunkey · 2014-08-12 08:58:34

Good evening people,
I'm looking at the calculator to help me solve a problem me and a friend have been having it works with what I need it gives me all of the possible combinations but I am looking for all of the unique combinations is there a way of filtering all the results just to get those please.

cheers for any help
Mohunkey

bobbym · 2014-08-12 09:28:02

Hi mohunkey;

It would help if you posted the problem.

mohunkey · 2014-08-12 17:54:03

hey bobbym
yeah the problem is me and a mate are thinking about starting a race seriers and we are going to have like 20 competitors ruffly and only about 5,6 that can run at a time but over the weeks we want each competitor to run every other competitor once. yeah I also know that some races will have less racers in than others but that doesn't matter
could you please help cheers

mohunkey

bobbym · 2014-08-12 20:20:08

Is it 5 or is it 6?

mohunkey · 2014-08-12 21:05:41

Lets say six atm just want to know how to work it so if we get more people enter we can add them easily
cheers
mohunkey

bobbym · 2014-08-12 21:15:56

Is this something like a tournament?

mohunkey · 2014-08-12 21:27:03

Yeah ital be you get so many points for a win and less for each place after but when ever I've tried to workit out we end up with racers who have raced twice.
cheers
mohunkey

mohunkey · 2014-08-13 03:37:32

hey bobbym is this something you would be able to help with or pint me in the correct direction please
cheers Mohunkey

bobbym · 2014-08-13 03:46:58

Hi;

So far I do not understand the problem well enough to try to answer it.

I sure could use an example of what you are trying to do. Can you put together a smaller example than the real one?

mohunkey · 2014-08-13 04:03:44

Basically we have a number of number of competitors (c) they have a race with any combination of the other competitors up to six at a time and each week they have a race a different set of people so what I was wondering is there a way using maths or anything of easily picking the racers so they race each other once in the compleat tornament
so say you have racers a-i
week one
race 1 a,b,c
race 2 d,e,f
race 3 g,h,i
week two
race 1 a,e,i
race 2 b,f,g
race 3 c,d,h
and so on
but unlike with small combinations like this it is really difficult when you have a large number to choose from to get each racer to have a race each week who hasn't raced a person before.

bobbym · 2014-08-13 04:28:11

Hi;

Okay, I will look at it.

mohunkey · 2014-08-13 04:37:13

Cheers thank you

bobbym · 2014-08-13 21:01:04

Hi;

The nearest I can understand your problem is as a progressive dinner. Some of them have solutions and some do not. Many have not been figured yet, all require a computer to enumerate them.

For the a,b,c,d,e,f,g,h,i example we can relabel it 1,2,3,4,5,6,7,8,9 and it takes 4 days.
Day 1
6 4 8
3 9 7
5 1 2

Day 2
1 8 3
4 2 9
5 7 6

Day 3
1 9 6
4 3 5
8 7 2

Day 4
9 5 8
4 7 1
6 3 2

mohunkey · 2014-08-13 21:04:47

Yeah how did you do it just go through them all
cheers
mohunkey

bobbym · 2014-08-13 21:08:05

It was even easier than that, I just copied.

mohunkey · 2014-08-13 21:20:46

But it just listed every combination
123
124
125
126
127
128
and so on

bobbym · 2014-08-13 21:27:43

No, it did not because that would have 1 racing with 2 many times. This progressive dinner has each one racing against every other one just once.

mohunkey · 2014-08-13 21:29:17

No I ment when I did it sorry.
where did you get your combinations from please.
cheers
mohunkey

bobbym · 2014-08-13 21:32:06

I copied it from a list of all the known progressive dinners. As I have said not all of them have a solution, some are impossible and some we just do not know.

mohunkey · 2014-08-13 21:51:57

Ok so I should search for progressive dinners

bobbym · 2014-08-13 21:53:43

I can direct you to the sites where the research is already under way. There are many tables, if you have trouble understanding how they work come back here. Is that acceptable?

mohunkey · 2014-08-13 21:56:48

Yeah that is fantastic cheers for all ya help
cheers

bobbym · 2014-08-13 22:04:14

Einstein wrote:

Creativity is knowing how to hide your sources

The one quote that establishes Einstein as a true genius.

http://www.mathpuzzle.com/MAA/54-Golf%2 … l#g36o4d11

http://faculty.mercer.edu/schultz_sr/so … olfer.html

http://web.archive.org/web/200503081154 … /~wh/golf/

Math Is Fun Forum

#1 2014-08-12 08:58:34

the Combinations and permutations calculator

#2 2014-08-12 09:28:02

Re: the Combinations and permutations calculator

#3 2014-08-12 17:54:03

Re: the Combinations and permutations calculator

#4 2014-08-12 20:20:08

Re: the Combinations and permutations calculator

#5 2014-08-12 21:05:41

Re: the Combinations and permutations calculator

#6 2014-08-12 21:15:56

Re: the Combinations and permutations calculator

#7 2014-08-12 21:27:03

Re: the Combinations and permutations calculator

#8 2014-08-13 03:37:32

Re: the Combinations and permutations calculator

#9 2014-08-13 03:46:58

Re: the Combinations and permutations calculator

#10 2014-08-13 04:03:44

Re: the Combinations and permutations calculator

#11 2014-08-13 04:28:11

Re: the Combinations and permutations calculator

#12 2014-08-13 04:37:13

Re: the Combinations and permutations calculator

#13 2014-08-13 21:01:04

Re: the Combinations and permutations calculator

#14 2014-08-13 21:04:47

Re: the Combinations and permutations calculator

#15 2014-08-13 21:08:05

Re: the Combinations and permutations calculator

#16 2014-08-13 21:20:46

Re: the Combinations and permutations calculator

#17 2014-08-13 21:27:43

Re: the Combinations and permutations calculator

#18 2014-08-13 21:29:17

Re: the Combinations and permutations calculator

#19 2014-08-13 21:32:06

Re: the Combinations and permutations calculator

#20 2014-08-13 21:51:57

Re: the Combinations and permutations calculator

#21 2014-08-13 21:53:43

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#22 2014-08-13 21:56:48

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#23 2014-08-13 22:04:14

Re: the Combinations and permutations calculator

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