1.A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 12 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below.

a. How many different ways can the officers be appointed?

b. How many different ways can the committee be appointed?

c. What is the probability of randomly selecting the committee members and getting the

three youngest of the qualified candidates?

2.A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?

(i) The number of possible codes is __.

(ii)The probability that the correct code is given on the first try is __.

3.

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant 91 A B C D Order Accurate 325 267 249 121 Order Not Accurate 39 50 32 15 If one order is selected, find the probability of getting an order that is not accurate. The probability of getting an order that is not accurate is D. (Round to three decimal places as needed.)