Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I want to generate all possible combination of six number from 49 balls. We can say 49/6 lottery numbers also. http://en.wikipedia.org/wiki/Lotto_6/49

When we calculate the possible combination of (49 6) and i get 13983816 using MS excels COMBIN formula.

So My question is that does this calculation will generate possible number from 0 to 49 or 1 to 49?

If not then how can i get possible sequences which does not include 0.

share|improve this question
    
Are you also asking for a random number generator to generate these six number pairs? Of course each drawing would be unique. Regards –  Amzoti Jan 24 '13 at 9:03

1 Answer 1

See Binomial coefficient on Wikipedia. $\begin{pmatrix}49\\6\end{pmatrix}$ is the number of combinations for drawing six numbers out of fourty nine different numbers. In your case, it is the number of ways to choose six numbers from $\{1, 2, ..., 49\}$ without repetitions, i.e. it is the total number of Lotto 6/49 entries. Note, however, the total number of draw results is $43\times\begin{pmatrix}49\\6\end{pmatrix}$ because a seventh bonus number is also drawn.

share|improve this answer
    
so you mean (49 6) = 6 numbers drawn from 1,2,3,4,..,49, right? –  Avinash Aug 8 '11 at 10:40
    
@Avinash: that is correct. If you were drawing from 0 through 49, that is 50 numbers, and the calculation would be $50 \choose 6$ –  Ross Millikan Aug 8 '11 at 13:37
    
Can i get any logic to generate all possible sequence of (49 6) without 0? –  Avinash Aug 8 '11 at 14:31
1  
@Avinash Ross Millikan and user1551 have already given you the answer. ${49\choose 6}=13983816$ is the number of ways to select 6 distinct values from $\{1,2,\dots,49\}$. The value $0$ is not used in this calculation. –  Byron Schmuland Aug 9 '11 at 15:10

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.