Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Combinatorics? Lottery, Canadians help?

  1. Sep 17, 2011 #1
    1. The problem statement, all variables and given/known data

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


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

    3. 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

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

    What's the problem? I don't know if 0 is in the set...
  2. jcsd
  3. Sep 17, 2011 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

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

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook