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

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