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1-8. A manufacturing process consists of 10 opera- tions that can be completed in any order. How many different production sequences are possible? 1-9. A manufacturing operation consists of 10 oper- ations. However, five operations must be completed before any of the remaining five assembly operations can begin. Within each set of five, operations can be operated in any order. How many operation se- quences are possible? 1-10. A batch of 140 semiconductor chips is in- spected by choosing a sample of 5 chips. Assume 10 chips do not conform to customer requirements. a) How many different samples are possible? b) How many samples of five contain exactly one non-conforming chip? c) How many samples of five contain at least three non-conforming chips?

1-8. A manufacturing process consists of 10 opera- tions that can be completed in any order. How many different production sequences are possible? 1-9. A manufacturing operation consists of 10 oper- ations. However, five operations must be completed before any of the remaining five assembly operations can begin. Within each set of five, operations can be operated in any order. How many operation se- quences are possible? 1-10. A batch of 140 semiconductor chips is in- spected by choosing a sample of 5 chips. Assume 10 chips do not conform to customer requirements. a) How many different samples are possible? b) How many samples of five contain exactly one non-conforming chip? c) How many samples of five contain at least three non-conforming chips?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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1-8. A manufacturing process consists of 10 opera- tions that can be completed in any order. How many different production sequences are possible? 1-9. A manufacturing operation consists of 10 oper- ations. However, five operations must be completed before any of the remaining five assembly operations can begin. Within each set of five, operations can be operated in any order. How many operation se- quences are possible? 1-10. A batch of 140 semiconductor chips is in- spected by choosing a sample of 5 chips. Assume 10 chips do not conform to customer requirements. a) How many different samples are possible? How many samples of five contain exactly one non-conforming chip? c) How many samples of five contain at least three non-conforming chips? 1-11. In the design of an electromechanical product, 12 components are to be stacked in a cylindrical cas- ing in a manner that minimizes the impact of shocks. One end of the casing is designated as bottom and the other is the top. a) If all components are different, how many differ- ent designs are possible? b) If seven components are identical to one another, but the others are different, how many different designs are possible? c) If three components are of one type and identical to one another, and four components are of an- other type and identical to one another, but the others are different, how many different designs are possible? 1-12. Consider the design of a communication sys- tem. a) How many three-digit phone prefixes that are used to represent a particular geographical area (such as an area code) can be created from the digits 0 through 9?
Transcribed Image Text:1-8. A manufacturing process consists of 10 opera- tions that can be completed in any order. How many different production sequences are possible? 1-9. A manufacturing operation consists of 10 oper- ations. However, five operations must be completed before any of the remaining five assembly operations can begin. Within each set of five, operations can be operated in any order. How many operation se- quences are possible? 1-10. A batch of 140 semiconductor chips is in- spected by choosing a sample of 5 chips. Assume 10 chips do not conform to customer requirements. a) How many different samples are possible? How many samples of five contain exactly one non-conforming chip? c) How many samples of five contain at least three non-conforming chips? 1-11. In the design of an electromechanical product, 12 components are to be stacked in a cylindrical cas- ing in a manner that minimizes the impact of shocks. One end of the casing is designated as bottom and the other is the top. a) If all components are different, how many differ- ent designs are possible? b) If seven components are identical to one another, but the others are different, how many different designs are possible? c) If three components are of one type and identical to one another, and four components are of an- other type and identical to one another, but the others are different, how many different designs are possible? 1-12. Consider the design of a communication sys- tem. a) How many three-digit phone prefixes that are used to represent a particular geographical area (such as an area code) can be created from the digits 0 through 9?
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