Assigned Problem: 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 1,875 people chose bratwurst and 2,003 people chose sweet corn. Among those who chose bratwusrt, 333 did not choose sweet corn.
Assigned Problem:
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
1,875 people chose bratwurst and 2,003 people chose sweet corn. Among those who chose bratwusrt, 333 did not choose sweet corn.
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I'm struggling with what symbols were used down in the handwritten portion of the follow up answer.
![→n (ANB)
ท
n (A) = 1875,
Now
ü)
(in)
(w)
2
n (A-B).
n (A) n (An (3)
2 (B-A) =
n (B) = n(ADB) =
a) The Venn diagteam is given by
209
333
=
1875-333
=
n (B) = 2003,
5
A
✓
1) Number of altendess who choose bratwurst = 1875
Number of altendess who chose sweet corn = 2003
elements in Group 2 but not group1 = 461
elements in croup-1 or group-2
n (AUB) =
n (A) + n(B) = n(ANB)
1875 + 2003
1542
=1542
B
1542 461
= 333
461
-
= 23 36.
element in neiter group-1 nor
group-2
n(u) n (AUB) = 2545-23 36 = 209
-](https://content.bartleby.com/qna-images/question/541cec4f-9008-423b-933b-937584eebaae/101ec961-256e-49a2-b911-82e0abcf24de/uu6r2sh_thumbnail.jpeg)
I am not understanding how the cardinality was determined. Could you give an explanation on each set of cardinality? In words, not the work to determine cardinality.
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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