1.Outside ahome, there is a9-keykeypad with letters A,B,C,D,E,F,G,H,andIthat can be used to open the garage if the correct nine-lettercode is entered. Each key may be used only once. How many codes arepossible?

2. In a sample of 1000 U.S.adults, 214 dine out at a restaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.adults: (a) Find the probability that both adults dine out more than once per week.(Round to three decimal places asneeded.)

(b) Find the probability that neither adult dines out more than once per week.(Round to three decimal places asneeded.)

(c) Find the probability that at least one of the two adults dines out more than once per week.(Round to three decimal places asneeded.)