Question: In a popular lottery known as "Lotto 6/49," a player marks a card with six different numbers from the integers 1-49 and wins if his or her numbers match six randomly selected such numbers.
(a) In how many ways can a player complete a game card?
(b) How many cards should you complete in order to have at least one chance in a million of winning?
(c) In how many ways can a player complete a game card so that no number matches any of the six selected?
(d) In how many ways can a player complete a game card so that at least one number matches one of the six selected?