At a large company picnic attended by 2,545 people, two of the food items served are bratwurst and roasted sweet corn. Let the following subsets be defined: Group 1: Attendees who chose bratwurst Group 2: attendees who chose sweet corn 1875 people chose bratwurst and 2003 people chose sweet corn. Among those who chose bratwurst, 333 did not choose sweet corn.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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THIS IS A PRACTICE QUESTION! It is not graded, but I am so lost and need some help and guidance.

 

At a large company picnic attended by 2,545 people, two of the food items served are bratwurst and roasted sweet corn.

Let the following subsets be defined:

Group 1: Attendees who chose bratwurst

Group 2: attendees who chose sweet corn

1875 people chose bratwurst and 2003 people chose sweet corn. Among those who chose bratwurst, 333 did not choose sweet corn.

A.  Construct a Venn diagram to represent your assigned problem. Include capital letter labels for all sets and indicate what each label represents.

B.  Use the set notation symbols (∪,',∩) and set labels from part A to express each of the following sets:

•   elements in both Group 1 and Group 2

•   elements in Group 2 but not Group 1

•   elements in Group 1 or Group 2

•   elements in neither Group 1 nor Group 2

C.  Determine the cardinality of each of the following sets, including an explanation of the process for how you determined the cardinality:

•   elements in both Group 1 and Group 2

•   elements in Group 2 but not Group 1

•   elements in Group 1 or Group 2

•   elements in neither Group 1 nor Group 2

 

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