Answered: Determine how many different computer…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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WEEK 5 TASK 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?

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