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In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of them owned a giant screen TV, and 118 owned a sporting goods store. 28 owned a convertible and a store, 46 owned a TV and a store, and 59 owned a covertible and a TV. 12 owned all three items. 1. How many athletes did not own any of the three items? 2. How many owned a covertible and a TV, but not a store? 3. How many athletes owned a convertible or a TV?

In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of them owned a giant screen TV, and 118 owned a sporting goods store. 28 owned a convertible and a store, 46 owned a TV and a store, and 59 owned a covertible and a TV. 12 owned all three items. 1. How many athletes did not own any of the three items? 2. How many owned a covertible and a TV, but not a store? 3. How many athletes owned a convertible or a TV?

College Algebra
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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In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of them owned a giant screen TV, and 118 owned a sporting goods store. 28 owned a convertible and a store, 46 owned a TV and a store, and 59 owned a covertible and a TV. 12 owned all three items. 1. How many athletes did not own any of the three items? 2. How many owned a covertible and a TV, but not a store? 3. How many athletes owned a convertible or a TV? 4. How many athletes owned exactly one type of item in the survey? 5. How many athletes owned at least one type of item in the survey? 6. How many owned a TV or a store, but not a convertible?
Transcribed Image Text:In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of them owned a giant screen TV, and 118 owned a sporting goods store. 28 owned a convertible and a store, 46 owned a TV and a store, and 59 owned a covertible and a TV. 12 owned all three items. 1. How many athletes did not own any of the three items? 2. How many owned a covertible and a TV, but not a store? 3. How many athletes owned a convertible or a TV? 4. How many athletes owned exactly one type of item in the survey? 5. How many athletes owned at least one type of item in the survey? 6. How many owned a TV or a store, but not a convertible?
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