The largest lottery in Ontario (Lotto Max) involves selecting seven numbers from 1 to 49 and matching them to the winning numbers each week. a) Suppose that order matters. i) What is the number of ways of selecting seven different numbers? ii) What is the number of ways of selecting seven numbers if repetition is allowed? H In the actual lottery, the order of the numbers does not matter and repetition is not allow What is the probability of winning this lottery (matching all seven numbers)? ii) You can also win some of the prize money if one of your numbers does not m What is the probability of matching any six of the seven winning numbers