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How many combinations? - Printable Version

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How many combinations? - Manu - 2011-08-11

Numbers from 1-39, combos of 6 numbers, order doesn't matter (123456 = 123465).
So, 123456, 123457,123458.... I didn't bother to think cause I know there's a formula for it, I was thinking 39^39 or something?


How many combinations? - Heidi - 2011-08-11

Darkmaniak Wrote:Numbers from 1-39, combos of 6 numbers, order doesn't matter (123456 = 123465).
So, 123456, 123457,123458.... I didn't bother to think cause I know there's a formula for it, I was thinking 39^39 or something?

This is just a simple combinations problem (Nearly equivalent to the NZ lotto draw problem actually)

n! / (k! * (n-k)!) is the formula you want, where n = 39 and k = 6

http://en.wikipedia.org/wiki/Combination


How many combinations? - Manu - 2011-08-11

Heidi Wrote:This is just a simple combinations problem (Nearly equivalent to the NZ lotto draw problem actually)

n! / (k! * (n-k)!) is the formula you want, where n = 39 and k = 6

http://en.wikipedia.org/wiki/Combination

Sooo the lottery is stacked up to 6200 million CLP (around 13 million dollars) right now, and buying every possible combination is ~2300 million (4.8m dollar). So if you were to buy every combination you'd most likely profit (it's rarely won by more than 2 people).


How many combinations? - shouri - 2011-08-11

Darkmaniak Wrote:Numbers from 1-39, combos of 6 numbers, order doesn't matter (123456 = 123465).
So, 123456, 123457,123458.... I didn't bother to think cause I know there's a formula for it, I was thinking 39^39 or something?

3.2 million combinations, roughly.


How many combinations? - XTOTHEL - 2011-08-11

you didn't mention if the numbers can repeat or not...but since it's the lottery, it doesn't repeat right?


How many combinations? - shouri - 2011-08-11

XTOTHEL Wrote:you didn't mention if the numbers can repeat or not...but since it's the lottery, it doesn't repeat right?

they don't, which it's why it's 3.2million.


How many combinations? - OB3LISK - 2011-08-12

You guys really only have 39 numbers lol? Damnnn.

Yeah charizard is correct.


How many combinations? - Tay - 2011-08-14

Yea, combination formula.

nCr
39C6
3262623

go out and buy them all!