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.
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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Can you explain what the process was to find the cardinality?