1. In the following problem give your answer using the notation nPr or nCr. You don't have to give an actual numerical answer. a. How many ways can one pick the winners of the gold, silver, and bronze medals? b. How many ways can one pick the winners of the gold medals? 2. Write out the event described by each of the following statements as a set. a. b. c. d. E1: "draw a king." E2: "draw a heart." E3: "draw a face card." (A "face" card is a jack, queen, or king.) E4: "draw a joker." 3. Find the probability of each of the following events. (Do problem #2 first.) a. b. c. d. E1: "draw a king." E2: "draw a heart." E3: "draw a face card." (A "face" card is a jack, queen, or king.) E4: "draw a joker." 4. What percentage of the students passed the test? 5. What is the percentage increase in their wage? 6. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny. 7. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny. 8. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny