In a commercial involving 1000 person on brand preference, 120 were found to prefer brand X only, 200 person brand Y only, 150 persons prefer Z only, 370 prefer prefer either X or Y but not Z, 450 prefer brand Y or Z but not X, and 370 prefer either Z or X but not Y and none prefer all of the three brands at a time. How many persons have no brand preference with any of the three brands? Your answer

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3...
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In a commercial involving 1000 person on brand preference, 120 were found to
prefer brand X only, 200 person brand Y only, 150 persons prefer Z only, 370
prefer prefer either X or Y but not Z, 450 prefer brand Y or Z but not X, and 370
prefer either Z or X but not Y and none prefer all of the three brands at a time.
How many persons have no brand preference with any of the three brands?
Your answer
Transcribed Image Text:In a commercial involving 1000 person on brand preference, 120 were found to prefer brand X only, 200 person brand Y only, 150 persons prefer Z only, 370 prefer prefer either X or Y but not Z, 450 prefer brand Y or Z but not X, and 370 prefer either Z or X but not Y and none prefer all of the three brands at a time. How many persons have no brand preference with any of the three brands? Your answer
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