Combinatorics? Lottery, Canadians help?

[flyingpig]

Homework Statement

My professor gave us this problem, I asked him about it but he just dumped it on me by saying "check it out yourself".

Problem

Determine the number of all combinations of winning numbers for Lotto 6/49

The Attempt at a Solution

I read on wikia there are actually 5 numbers? I am not sure if they repeat...if it even matters from a set of 49.

So my guess is

$$\binom{49}{6} = \frac{49!}{6!(49-6)!} = \frac{49 \cdot48 \cdot 47 \cdot 46 \cdot45 \cdot44}{6\cdot5 \cdot4\cdot3\cdot1} = 13983816$$

What's the problem? I don't know if 0 is in the set...

 

[Ray Vickson]

Homework Statement

My professor gave us this problem, I asked him about it but he just dumped it on me by saying "check it out yourself".

Problem

Determine the number of all combinations of winning numbers for Lotto 6/49

The Attempt at a Solution

I read on wikia there are actually 5 numbers? I am not sure if they repeat...if it even matters from a set of 49.

So my guess is

$$\binom{49}{6} = \frac{49!}{6!(49-6)!} = \frac{49 \cdot48 \cdot 47 \cdot 46 \cdot45 \cdot44}{6\cdot5 \cdot4\cdot3\cdot1} = 13983816$$

What's the problem? I don't know if 0 is in the set...

Check out the page http://www.olg.ca/lotteries/draws_faq.jsp and look at the faq.

RGV