Algebra 2 Honors Name________________
Probability Day 1 Assignment: I1
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?
11. From a standard deck of cards, how many ways can you pick a face card, then a spade? Provided you put
the first card back?
12. From a standard deck of cards, how many ways can you pick a king, a heart, and then a five? Provided
you put the cards back into the deck.
Fundamental Counting
Principles Worksheet
