9. A new employee has a choice of 5 health plans, 3 retirement plans, and 2 different expense accounts. How many different options does he or she have using the Fundamental Counting Principle? (5 points)

10. License plates are being produced that have two digits (0-3) followed by two letters.

a) Find the number of license plates possible if repetition of letters and numbers is allowed. (5 points)

b) Repeat part (a) with no repetition allowed. (5 points)

11. Determine whether permutations or combinations can be used to determine the number of ways each event can happen. Then calculate the total amount of possibilities. (5 points each)

a) A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. How many outcomes are possible for the winners?

b) How many different five-member committees could be formed from a group of 50 U.S. Senators?

12. Determine the number of distinguishable arrangements of the letters in the word MAMMOGRAM. (5 points)