Saturday, December 26, 2009

How many different combinations of numbers are there in a lottery draw?

14 million.How many different combinations of numbers are there in a lottery draw?
The MegaMillions lottery has 102 balls and there are 175,711,536 combinations.





The California's SuperLottoPlus lottery has 74 balls and there are 41,416,353 combinations.





The more balls a lottery has, the more combinations it has.How many different combinations of numbers are there in a lottery draw?
3,080,861,280!
About 13,000,000.
You have to specify how many numbers are drawn from how many possible. Colorado has 6 drawn from a possible 42, Florida has 6 from 53, Michigan has 6 from 47, and so on. These lottery types are usually denoted by n/N, that is ';n drawn from N possible ones';. So, for Colorado we have the notation 6/42, for Florida 6/53, and for Michigan 6/47.





Now, using our n/N notation, the possible combinations are calculated by





Combinations = N! / (n! * (N-n)!)


where ! is a sign for factorial.

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