A lottery consists of drawing 8 balls without replacement from an urn containing balls numbered from 1 to 33. Players select 8 of the numbers, and win certain amounts of money if they match either 6, 7, or 8 of the numbers (matching in order is not necessary).
(a) How many ways are there to match all 8 numbers (remember order is not relevant)?
(b) How many ways are there to match exactly 7 numbers?
(c) How many ways are there to match at least 6 numbers?
(d) What is the probability that a randomly selected lottery ticket will win mone