Answered: Determine how many different computer…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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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