7. In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment that selects 8 of these 40 numbers. Assuming that the choice of the lottery commission is equally likely to be any of the $$ \binom{40}{8}$$ combinations, what is the probability that a player has

(a) all 8 of the numbers selected;

(b) 7 of the numbers selected;

(c) at least 6 of the numbers selected?