To enter a cereal competition, competitors have to choose the eight most important features of a new car, from a possible 12 features, then list the eight in order of preference. Each cereal packet entry form contains space for five entries. A correct entry wins a new car.

(a) What is the probability that a woman wins a new car if she completes the entry form from one packet?

(b) How many entry forms would she need to complete, each entry showing different arrangements, if the probability that she wins a car is to be at least 0.8?