Determine how many different computer passwords are possible if: (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated.

1. 3 digits followed by 4 letters.

2. 2 digits followed by 5 letters.

3. A men's department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are possible?

4. A baseball manager is determining the batting order for the team. The team has 9 players, but the manager definitely wants the pitcher to bat last. How many batting orders are possible?

5. How many eight-digit numbers can be formed if the leading digit cannot be a zero and the last number cannot be 1?

6. How many 4 digit odd numbers can be formed if no digit can be repeated?

7. The standard configuration for an Alaska license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated? How many if they cannot be repeated?

8. A single die is rolled. How many ways can you roll a number less than 3, then an even, and then an odd?

9. A single die is rolled. How many ways can you roll a number that is prime, followed by a 6?

10. A red die and a blue die are rolled - in how many ways can you get a sum of 6?​