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#1 2007-06-28 09:24:52

Doc Choc
Guest

number combinations

Hi wave

I need to find out how i can calculate how many combinations of 3 numbers and that i can get from 16 numbers overall and a straightforward way (if there is one) of getting them down onto a table

Please help dunno

Thanks

Doc

#2 2007-06-30 18:14:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: number combinations

16X16X16=4096 ways!
This is much similar to the Hexadecimal where 16 numbers are used, 0 to 9, A to F.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2007-06-30 20:55:11

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: number combinations

16[sup]3[/sup] is when repeated numbers are allowed in your combination. If no number is to be repeated, the number of combinations is only [sup]16[/sup]C[sub]3[/sub] = 560.

The best way to list them in a table is to arrange them in numerical order.

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#4 2007-07-06 23:12:36

Doc Choc
Guest

Re: number combinations

Hi again

ok so if you have 560 unrepeated combinations of three and had a to buy some lotto tickets, take into account you can have 6 numbers on every line, how many lines would it take to fit all the combinations of 3 numbers , cos it would drop dramatically

Thanks for the help so far big_smile

#5 2007-07-12 14:17:17

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: number combinations

What would drop dramatically?
6 on a line, 1 to 16 ?  What about the 3 on a line?
Can you clarify this question?


igloo myrtilles fourmis

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#6 2007-07-21 06:02:40

Doc Choc
Guest

Re: number combinations

Hi again wave


sorry just to clarify, for each lottery ticket your allowed 6 numbers on each line, so you take 16 of your favourite numbers, and you break them down into combinations of three (minimum win), lets use six numbers for example:

1,2,3 or 4,5,6 or 1,2,5 or 5,1,6 or...

but for example you could get all of those combinations on one line e.g

1,2,3,4,5,6

which saves you doing multiple lines to achieve minimum win if 3 of the six numbers ar drawn

I dont know if that helps but using 16 numbers instead of six how many lines would you need?

thanks for all the help touched

Doc up

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